18=12x^2-6x

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


Simplifying
18 = 12x2 + -6x

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

Solving
18 = -6x + 12x2

Solving for variable 'x'.

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

Combine like terms: -6x + 6x = 0
18 + 6x + -12x2 = 0 + 12x2 + -12x2
18 + 6x + -12x2 = 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
18 + 6x + -12x2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(3 + x + -2x2) = 0

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

Ignore the factor 6.

Subproblem 1

Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 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 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5

Subproblem 2

Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1

Solution

x = {1.5, -1}

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