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

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


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

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

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

Solving for variable 'x'.

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

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

Combine like terms: 8x + 8x = 16x
-12 + 16x + 3x2 = 8 + -8x + -8 + 8x

Reorder the terms:
-12 + 16x + 3x2 = 8 + -8 + -8x + 8x

Combine like terms: 8 + -8 = 0
-12 + 16x + 3x2 = 0 + -8x + 8x
-12 + 16x + 3x2 = -8x + 8x

Combine like terms: -8x + 8x = 0
-12 + 16x + 3x2 = 0

Factor a trinomial.
(-6 + -1x)(2 + -3x) = 0


Subproblem 1
Set the factor '(-6 + -1x)' equal to zero and attempt to solve:

Simplifying
-6 + -1x = 0

Solving
-6 + -1x = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = 0 + 6
-1x = 0 + 6

Combine like terms: 0 + 6 = 6
-1x = 6

Divide each side by '-1'.
x = -6

Simplifying
x = -6

Subproblem 2
Set the factor '(2 + -3x)' equal to zero and attempt to solve:

Simplifying
2 + -3x = 0

Solving
2 + -3x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3x = 0 + -2

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

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

Divide each side by '-3'.
x = 0.6666666667

Simplifying
x = 0.6666666667
Solution
x = {-6, 0.6666666667}

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