8=-16x^2+12x+18

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Solution for 8=-16x^2+12x+18 equation: 


Simplifying
8 = -16x2 + 12x + 18

Reorder the terms:
8 = 18 + 12x + -16x2

Solving
8 = 18 + 12x + -16x2

Solving for variable 'x'.

Combine like terms: 8 + -18 = -10
-10 + -12x + 16x2 = 18 + 12x + -16x2 + -18 + -12x + 16x2

Reorder the terms:
-10 + -12x + 16x2 = 18 + -18 + 12x + -12x + -16x2 + 16x2

Combine like terms: 18 + -18 = 0
-10 + -12x + 16x2 = 0 + 12x + -12x + -16x2 + 16x2
-10 + -12x + 16x2 = 12x + -12x + -16x2 + 16x2

Combine like terms: 12x + -12x = 0
-10 + -12x + 16x2 = 0 + -16x2 + 16x2
-10 + -12x + 16x2 = -16x2 + 16x2

Combine like terms: -16x2 + 16x2 = 0
-10 + -12x + 16x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-5 + -6x + 8x2) = 0

Factor a trinomial.
2((-1 + -2x)(5 + -4x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-1 + -2x)' equal to zero and attempt to solve:

Simplifying
-1 + -2x = 0

Solving
-1 + -2x = 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 + -2x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2x = 0 + 1
-2x = 0 + 1

Combine like terms: 0 + 1 = 1
-2x = 1

Divide each side by '-2'.
x = -0.5

Simplifying
x = -0.5

Subproblem 2
Set the factor '(5 + -4x)' equal to zero and attempt to solve:

Simplifying
5 + -4x = 0

Solving
5 + -4x = 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 + -4x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = 0 + -5
-4x = 0 + -5

Combine like terms: 0 + -5 = -5
-4x = -5

Divide each side by '-4'.
x = 1.25

Simplifying
x = 1.25
Solution
x = {-0.5, 1.25}

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