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

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


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

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

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

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

Add '-4x' to each side of the equation.
4x + -4x + 2x2 = -4 + 4x + -4x + -3x2

Combine like terms: 4x + -4x = 0
0 + 2x2 = -4 + 4x + -4x + -3x2
2x2 = -4 + 4x + -4x + -3x2

Combine like terms: 4x + -4x = 0
2x2 = -4 + 0 + -3x2
2x2 = -4 + -3x2

Solving
2x2 = -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.
2x2 + 3x2 = -4 + -3x2 + 3x2

Combine like terms: 2x2 + 3x2 = 5x2
5x2 = -4 + -3x2 + 3x2

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

Divide each side by '5'.
x2 = -0.8

Simplifying
x2 = -0.8

Reorder the terms:
0.8 + x2 = -0.8 + 0.8

Combine like terms: -0.8 + 0.8 = 0.0
0.8 + x2 = 0.0

The solution to this equation could not be determined.

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