2x*2x+5=13

Solution for 2x*2x+5=13 equation:

Simplifying
2x * 2x + 5 = 13

Reorder the terms for easier multiplication:
2 * 2x * x + 5 = 13

Multiply 2 * 2
4x * x + 5 = 13

Multiply x * x
4x2 + 5 = 13

Reorder the terms:
5 + 4x2 = 13

Solving
5 + 4x2 = 13

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 + 4x2 = 13 + -5

Combine like terms: 5 + -5 = 0
0 + 4x2 = 13 + -5
4x2 = 13 + -5

Combine like terms: 13 + -5 = 8
4x2 = 8

Divide each side by '4'.
x2 = 2

Simplifying
x2 = 2

Take the square root of each side:
x = {-1.414213562, 1.414213562}