5x^2+32=7x^2

Solution for 5x^2+32=7x^2 equation:

Simplifying
5x2 + 32 = 7x2

Reorder the terms:
32 + 5x2 = 7x2

Solving
32 + 5x2 = 7x2

Solving for variable 'x'.

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

Add '-7x2' to each side of the equation.
32 + 5x2 + -7x2 = 7x2 + -7x2

Combine like terms: 5x2 + -7x2 = -2x2
32 + -2x2 = 7x2 + -7x2

Combine like terms: 7x2 + -7x2 = 0
32 + -2x2 = 0

Add '-32' to each side of the equation.
32 + -32 + -2x2 = 0 + -32

Combine like terms: 32 + -32 = 0
0 + -2x2 = 0 + -32
-2x2 = 0 + -32

Combine like terms: 0 + -32 = -32
-2x2 = -32

Divide each side by '-2'.
x2 = 16

Simplifying
x2 = 16

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