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

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


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

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

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

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

Solving for variable 'x'.

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

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

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

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

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

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

Factor a trinomial.
(-6 + -1x)(2 + -1x) = 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 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 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 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-6, 2}

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