6x^2-5x-12=4-5x-3x^2

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Solution for 6x^2-5x-12=4-5x-3x^2 equation: 


Simplifying
6x2 + -5x + -12 = 4 + -5x + -3x2

Reorder the terms:
-12 + -5x + 6x2 = 4 + -5x + -3x2

Add '5x' to each side of the equation.
-12 + -5x + 5x + 6x2 = 4 + -5x + 5x + -3x2

Combine like terms: -5x + 5x = 0
-12 + 0 + 6x2 = 4 + -5x + 5x + -3x2
-12 + 6x2 = 4 + -5x + 5x + -3x2

Combine like terms: -5x + 5x = 0
-12 + 6x2 = 4 + 0 + -3x2
-12 + 6x2 = 4 + -3x2

Solving
-12 + 6x2 = 4 + -3x2

Solving for variable 'x'.

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

Add '3x2' to each side of the equation.
-12 + 6x2 + 3x2 = 4 + -3x2 + 3x2

Combine like terms: 6x2 + 3x2 = 9x2
-12 + 9x2 = 4 + -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
-12 + 9x2 = 4 + 0
-12 + 9x2 = 4

Add '12' to each side of the equation.
-12 + 12 + 9x2 = 4 + 12

Combine like terms: -12 + 12 = 0
0 + 9x2 = 4 + 12
9x2 = 4 + 12

Combine like terms: 4 + 12 = 16
9x2 = 16

Divide each side by '9'.
x2 = 1.777777778

Simplifying
x2 = 1.777777778

Take the square root of each side:
x = {-1.333333333, 1.333333333}

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