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

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


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

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

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

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

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

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

Solving
-3x2 = -8

Solving for variable 'x'.

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

Divide each side by '-3'.
x2 = 2.666666667

Simplifying
x2 = 2.666666667

Take the square root of each side:
x = {-1.632993162, 1.632993162}

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