12x+10.5-16x-2x^2=8x^2-4x-12

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Solution for 12x+10.5-16x-2x^2=8x^2-4x-12 equation: 


Simplifying
12x + 10.5 + -16x + -2x2 = 8x2 + -4x + -12

Reorder the terms:
10.5 + 12x + -16x + -2x2 = 8x2 + -4x + -12

Combine like terms: 12x + -16x = -4x
10.5 + -4x + -2x2 = 8x2 + -4x + -12

Reorder the terms:
10.5 + -4x + -2x2 = -12 + -4x + 8x2

Add '4x' to each side of the equation.
10.5 + -4x + 4x + -2x2 = -12 + -4x + 4x + 8x2

Combine like terms: -4x + 4x = 0
10.5 + 0 + -2x2 = -12 + -4x + 4x + 8x2
10.5 + -2x2 = -12 + -4x + 4x + 8x2

Combine like terms: -4x + 4x = 0
10.5 + -2x2 = -12 + 0 + 8x2
10.5 + -2x2 = -12 + 8x2

Solving
10.5 + -2x2 = -12 + 8x2

Solving for variable 'x'.

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

Add '-8x2' to each side of the equation.
10.5 + -2x2 + -8x2 = -12 + 8x2 + -8x2

Combine like terms: -2x2 + -8x2 = -10x2
10.5 + -10x2 = -12 + 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
10.5 + -10x2 = -12 + 0
10.5 + -10x2 = -12

Add '-10.5' to each side of the equation.
10.5 + -10.5 + -10x2 = -12 + -10.5

Combine like terms: 10.5 + -10.5 = 0.0
0.0 + -10x2 = -12 + -10.5
-10x2 = -12 + -10.5

Combine like terms: -12 + -10.5 = -22.5
-10x2 = -22.5

Divide each side by '-10'.
x2 = 2.25

Simplifying
x2 = 2.25

Take the square root of each side:
x = {-1.5, 1.5}

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