6x+x^2+5=-4+4x+12

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Solution for 6x+x^2+5=-4+4x+12 equation: 


Simplifying
6x + x2 + 5 = -4 + 4x + 12

Reorder the terms:
5 + 6x + x2 = -4 + 4x + 12

Reorder the terms:
5 + 6x + x2 = -4 + 12 + 4x

Combine like terms: -4 + 12 = 8
5 + 6x + x2 = 8 + 4x

Solving
5 + 6x + x2 = 8 + 4x

Solving for variable 'x'.

Reorder the terms:
5 + -8 + 6x + -4x + x2 = 8 + 4x + -8 + -4x

Combine like terms: 5 + -8 = -3
-3 + 6x + -4x + x2 = 8 + 4x + -8 + -4x

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

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

Combine like terms: 8 + -8 = 0
-3 + 2x + x2 = 0 + 4x + -4x
-3 + 2x + x2 = 4x + -4x

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

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


Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve:

Simplifying
-3 + -1x = 0

Solving
-3 + -1x = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 0 + 3
-1x = 0 + 3

Combine like terms: 0 + 3 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3

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 = {-3, 1}

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