3x^2+11x-12=x-4

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Solution for 3x^2+11x-12=x-4 equation: 


Simplifying
3x2 + 11x + -12 = x + -4

Reorder the terms:
-12 + 11x + 3x2 = x + -4

Reorder the terms:
-12 + 11x + 3x2 = -4 + x

Solving
-12 + 11x + 3x2 = -4 + x

Solving for variable 'x'.

Reorder the terms:
-12 + 4 + 11x + -1x + 3x2 = -4 + x + 4 + -1x

Combine like terms: -12 + 4 = -8
-8 + 11x + -1x + 3x2 = -4 + x + 4 + -1x

Combine like terms: 11x + -1x = 10x
-8 + 10x + 3x2 = -4 + x + 4 + -1x

Reorder the terms:
-8 + 10x + 3x2 = -4 + 4 + x + -1x

Combine like terms: -4 + 4 = 0
-8 + 10x + 3x2 = 0 + x + -1x
-8 + 10x + 3x2 = x + -1x

Combine like terms: x + -1x = 0
-8 + 10x + 3x2 = 0

Factor a trinomial.
(-4 + -1x)(2 + -3x) = 0


Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve:

Simplifying
-4 + -1x = 0

Solving
-4 + -1x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 0 + 4
-1x = 0 + 4

Combine like terms: 0 + 4 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

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 = {-4, 0.6666666667}

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