2x^2+15x+5=15x+37

Solution for 2x^2+15x+5=15x+37 equation:

Simplifying
2x2 + 15x + 5 = 15x + 37

Reorder the terms:
5 + 15x + 2x2 = 15x + 37

Reorder the terms:
5 + 15x + 2x2 = 37 + 15x

Add '-15x' to each side of the equation.
5 + 15x + -15x + 2x2 = 37 + 15x + -15x

Combine like terms: 15x + -15x = 0
5 + 0 + 2x2 = 37 + 15x + -15x
5 + 2x2 = 37 + 15x + -15x

Combine like terms: 15x + -15x = 0
5 + 2x2 = 37 + 0
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}