-8=22x-6x^2

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Solution for -8=22x-6x^2 equation:


Simplifying
-8 = 22x + -6x2

Solving
-8 = 22x + -6x2

Solving for variable 'x'.

Reorder the terms:
-8 + -22x + 6x2 = 22x + -22x + -6x2 + 6x2

Combine like terms: 22x + -22x = 0
-8 + -22x + 6x2 = 0 + -6x2 + 6x2
-8 + -22x + 6x2 = -6x2 + 6x2

Combine like terms: -6x2 + 6x2 = 0
-8 + -22x + 6x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + -11x + 3x2) = 0

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

Ignore the factor 2.

Subproblem 1

Set the factor '(-1 + -3x)' equal to zero and attempt to solve: Simplifying -1 + -3x = 0 Solving -1 + -3x = 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 + -3x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = 0 + 1 -3x = 0 + 1 Combine like terms: 0 + 1 = 1 -3x = 1 Divide each side by '-3'. x = -0.3333333333 Simplifying x = -0.3333333333

Subproblem 2

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

Solution

x = {-0.3333333333, 4}

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