7x^2+18x-4=12-6x

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Solution for 7x^2+18x-4=12-6x equation: 


Simplifying
7x2 + 18x + -4 = 12 + -6x

Reorder the terms:
-4 + 18x + 7x2 = 12 + -6x

Solving
-4 + 18x + 7x2 = 12 + -6x

Solving for variable 'x'.

Reorder the terms:
-4 + -12 + 18x + 6x + 7x2 = 12 + -6x + -12 + 6x

Combine like terms: -4 + -12 = -16
-16 + 18x + 6x + 7x2 = 12 + -6x + -12 + 6x

Combine like terms: 18x + 6x = 24x
-16 + 24x + 7x2 = 12 + -6x + -12 + 6x

Reorder the terms:
-16 + 24x + 7x2 = 12 + -12 + -6x + 6x

Combine like terms: 12 + -12 = 0
-16 + 24x + 7x2 = 0 + -6x + 6x
-16 + 24x + 7x2 = -6x + 6x

Combine like terms: -6x + 6x = 0
-16 + 24x + 7x2 = 0

Factor a trinomial.
(-4 + -1x)(4 + -7x) = 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 '(4 + -7x)' equal to zero and attempt to solve:

Simplifying
4 + -7x = 0

Solving
4 + -7x = 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 + -7x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -7x = 0 + -4
-7x = 0 + -4

Combine like terms: 0 + -4 = -4
-7x = -4

Divide each side by '-7'.
x = 0.5714285714

Simplifying
x = 0.5714285714
Solution
x = {-4, 0.5714285714}

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