2x*5*x-3=2x*x

Solution for 2x*5*x-3=2x*x equation:

Simplifying
2x * 5x + -3 = 2x * x

Reorder the terms for easier multiplication:
2 * 5x * x + -3 = 2x * x

Multiply 2 * 5
10x * x + -3 = 2x * x

Multiply x * x
10x2 + -3 = 2x * x

Reorder the terms:
-3 + 10x2 = 2x * x

Multiply x * x
-3 + 10x2 = 2x2

Solving
-3 + 10x2 = 2x2

Solving for variable 'x'.

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

Add '-2x2' to each side of the equation.
-3 + 10x2 + -2x2 = 2x2 + -2x2

Combine like terms: 10x2 + -2x2 = 8x2
-3 + 8x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-3 + 8x2 = 0

Add '3' to each side of the equation.
-3 + 3 + 8x2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 8x2 = 0 + 3
8x2 = 0 + 3

Combine like terms: 0 + 3 = 3
8x2 = 3

Divide each side by '8'.
x2 = 0.375

Simplifying
x2 = 0.375

Take the square root of each side:
x = {-0.612372436, 0.612372436}