x+(2x-3)x+(2x-3)=

Solution for x+(2x-3)x+(2x-3)= equation:

Simplifying
x + (2x + -3) * x + (2x + -3) = 0

Reorder the terms:
x + (-3 + 2x) * x + (2x + -3) = 0

Reorder the terms for easier multiplication:
x + x(-3 + 2x) + (2x + -3) = 0
x + (-3 * x + 2x * x) + (2x + -3) = 0
x + (-3x + 2x2) + (2x + -3) = 0

Reorder the terms:
x + -3x + 2x2 + (-3 + 2x) = 0

Remove parenthesis around (-3 + 2x)
x + -3x + 2x2 + -3 + 2x = 0

Reorder the terms:
-3 + x + -3x + 2x + 2x2 = 0

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

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

Solving
-3 + 2x2 = 0

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 2x2 = 0 + 3

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

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

Divide each side by '2'.
x2 = 1.5

Simplifying
x2 = 1.5

Take the square root of each side:
x = {-1.224744871, 1.224744871}