Something like this should do the trick:
.jetpack_subscription_widget {
height: 80px;
}
.jetpack_subscription_widget #subscribe-email,
.jetpack_subscription_widget #subscribe-submit {
margin: 0;
padding; 0;
float: left;
}
.jetpack_subscription_widget #subscribe-email {
width: 73%;
}
.jetpack_subscription_widget #subscribe-submit {
width: 27%;
}
.jetpack_subscription_widget #subscribe-email input,
.jetpack_subscription_widget #subscribe-submit input {
width: 100%;
height: 34px;
padding: 6px 12px;
font-size: 14px;
line-height: 1.42857143;
color: #555;
background-color: #fff;
background-image: none;
border: 1px solid #ccc;
border-top-left-radius:4px;
border-bottom-left-radius:4px;
border-top-right-radius:0;
border-bottom-right-radius:0;
-webkit-box-shadow: inset 0 1px 1px rgba(0,0,0,.075);
box-shadow: inset 0 1px 1px rgba(0,0,0,.075);
-webkit-transition: border-color ease-in-out .15s,-webkit-box-shadow ease-in-out .15s;
-o-transition: border-color ease-in-out .15s,box-shadow ease-in-out .15s;
transition: border-color ease-in-out .15s,box-shadow ease-in-out .15s;
}
.jetpack_subscription_widget #subscribe-email input:focus,
.jetpack_subscription_widget #subscribe-submit input:focus {
border-color: #66afe9;
outline: 0;
-webkit-box-shadow: inset 0 1px 1px rgba(0,0,0,.075),0 0 8px rgba(102,175,233,.6);
box-shadow: inset 0 1px 1px rgba(0,0,0,.075),0 0 8px rgba(102,175,233,.6);
}
.jetpack_subscription_widget #subscribe-email input::-moz-placeholder,
.jetpack_subscription_widget #subscribe-submit input::-moz-placeholder {
color: #999;
opacity: 1;
}
.jetpack_subscription_widget #subscribe-email input:-ms-input-placeholder,
.jetpack_subscription_widget #subscribe-submit input:-ms-input-placeholder {
color: #999;
}
.jetpack_subscription_widget #subscribe-email input::-webkit-input-placeholder,
.jetpack_subscription_widget #subscribe-submit input::-webkit-input-placeholder {
color: #999;
}
.jetpack_subscription_widget #subscribe-submit input[type="submit"] {
background-color: #3ae87c;
border-color: transparent;
color: #fff;
border-top-right-radius:4px;
border-bottom-right-radius:4px;
border-top-left-radius:0;
border-bottom-left-radius:0;
}
#footer-sidebar2 .widget_search {
clear: both;
}