(x)(2x)+5=37

Solution for (x)(2x)+5=37 equation:

Simplifying
(x)(2x) + 5 = 37

Remove parenthesis around (2x)
x * 2x + 5 = 37

Reorder the terms for easier multiplication:
2x * x + 5 = 37

Multiply x * x
2x2 + 5 = 37

Reorder the terms:
5 + 2x2 = 37

Solving
5 + 2x2 = 37

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + 2x2 = 37 + -5

Combine like terms: 5 + -5 = 0
0 + 2x2 = 37 + -5
2x2 = 37 + -5

Combine like terms: 37 + -5 = 32
2x2 = 32

Divide each side by '2'.
x2 = 16

Simplifying
x2 = 16

Take the square root of each side:
x = {-4, 4}