18x^2-9x-56=-3x+4

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Solution for 18x^2-9x-56=-3x+4 equation: 


Simplifying
18x2 + -9x + -56 = -3x + 4

Reorder the terms:
-56 + -9x + 18x2 = -3x + 4

Reorder the terms:
-56 + -9x + 18x2 = 4 + -3x

Solving
-56 + -9x + 18x2 = 4 + -3x

Solving for variable 'x'.

Reorder the terms:
-56 + -4 + -9x + 3x + 18x2 = 4 + -3x + -4 + 3x

Combine like terms: -56 + -4 = -60
-60 + -9x + 3x + 18x2 = 4 + -3x + -4 + 3x

Combine like terms: -9x + 3x = -6x
-60 + -6x + 18x2 = 4 + -3x + -4 + 3x

Reorder the terms:
-60 + -6x + 18x2 = 4 + -4 + -3x + 3x

Combine like terms: 4 + -4 = 0
-60 + -6x + 18x2 = 0 + -3x + 3x
-60 + -6x + 18x2 = -3x + 3x

Combine like terms: -3x + 3x = 0
-60 + -6x + 18x2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(-10 + -1x + 3x2) = 0

Factor a trinomial.
6((-5 + -3x)(2 + -1x)) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(-5 + -3x)' equal to zero and attempt to solve:

Simplifying
-5 + -3x = 0

Solving
-5 + -3x = 0

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

Add '5' to each side of the equation.
-5 + 5 + -3x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -3x = 0 + 5
-3x = 0 + 5

Combine like terms: 0 + 5 = 5
-3x = 5

Divide each side by '-3'.
x = -1.666666667

Simplifying
x = -1.666666667

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 = {-1.666666667, 2}

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