x^2+4x-6=-3x+2

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Solution for x^2+4x-6=-3x+2 equation: 


Simplifying
x2 + 4x + -6 = -3x + 2

Reorder the terms:
-6 + 4x + x2 = -3x + 2

Reorder the terms:
-6 + 4x + x2 = 2 + -3x

Solving
-6 + 4x + x2 = 2 + -3x

Solving for variable 'x'.

Reorder the terms:
-6 + -2 + 4x + 3x + x2 = 2 + -3x + -2 + 3x

Combine like terms: -6 + -2 = -8
-8 + 4x + 3x + x2 = 2 + -3x + -2 + 3x

Combine like terms: 4x + 3x = 7x
-8 + 7x + x2 = 2 + -3x + -2 + 3x

Reorder the terms:
-8 + 7x + x2 = 2 + -2 + -3x + 3x

Combine like terms: 2 + -2 = 0
-8 + 7x + x2 = 0 + -3x + 3x
-8 + 7x + x2 = -3x + 3x

Combine like terms: -3x + 3x = 0
-8 + 7x + x2 = 0

Factor a trinomial.
(-8 + -1x)(1 + -1x) = 0


Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve:

Simplifying
-8 + -1x = 0

Solving
-8 + -1x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 0 + 8
-1x = 0 + 8

Combine like terms: 0 + 8 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1
Solution
x = {-8, 1}

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