3x^2+2x-5=2x-2

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Solution for 3x^2+2x-5=2x-2 equation: 


Simplifying
3x2 + 2x + -5 = 2x + -2

Reorder the terms:
-5 + 2x + 3x2 = 2x + -2

Reorder the terms:
-5 + 2x + 3x2 = -2 + 2x

Add '-2x' to each side of the equation.
-5 + 2x + -2x + 3x2 = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
-5 + 0 + 3x2 = -2 + 2x + -2x
-5 + 3x2 = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
-5 + 3x2 = -2 + 0
-5 + 3x2 = -2

Solving
-5 + 3x2 = -2

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 + 3x2 = -2 + 5

Combine like terms: -5 + 5 = 0
0 + 3x2 = -2 + 5
3x2 = -2 + 5

Combine like terms: -2 + 5 = 3
3x2 = 3

Divide each side by '3'.
x2 = 1

Simplifying
x2 = 1

Take the square root of each side:
x = {-1, 1}

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