3x^2+4x-8=x^2+3x+12+x-2

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Solution for 3x^2+4x-8=x^2+3x+12+x-2 equation: 


Simplifying
3x2 + 4x + -8 = x2 + 3x + 12 + x + -2

Reorder the terms:
-8 + 4x + 3x2 = x2 + 3x + 12 + x + -2

Reorder the terms:
-8 + 4x + 3x2 = 12 + -2 + 3x + x + x2

Combine like terms: 12 + -2 = 10
-8 + 4x + 3x2 = 10 + 3x + x + x2

Combine like terms: 3x + x = 4x
-8 + 4x + 3x2 = 10 + 4x + x2

Add '-4x' to each side of the equation.
-8 + 4x + -4x + 3x2 = 10 + 4x + -4x + x2

Combine like terms: 4x + -4x = 0
-8 + 0 + 3x2 = 10 + 4x + -4x + x2
-8 + 3x2 = 10 + 4x + -4x + x2

Combine like terms: 4x + -4x = 0
-8 + 3x2 = 10 + 0 + x2
-8 + 3x2 = 10 + x2

Solving
-8 + 3x2 = 10 + x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
-8 + 3x2 + -1x2 = 10 + x2 + -1x2

Combine like terms: 3x2 + -1x2 = 2x2
-8 + 2x2 = 10 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-8 + 2x2 = 10 + 0
-8 + 2x2 = 10

Add '8' to each side of the equation.
-8 + 8 + 2x2 = 10 + 8

Combine like terms: -8 + 8 = 0
0 + 2x2 = 10 + 8
2x2 = 10 + 8

Combine like terms: 10 + 8 = 18
2x2 = 18

Divide each side by '2'.
x2 = 9

Simplifying
x2 = 9

Take the square root of each side:
x = {-3, 3}

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