-6x^2-x+14=-8

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Solution for -6x^2-x+14=-8 equation:


Simplifying
-6x2 + -1x + 14 = -8

Reorder the terms:
14 + -1x + -6x2 = -8

Solving
14 + -1x + -6x2 = -8

Solving for variable 'x'.

Reorder the terms:
14 + 8 + -1x + -6x2 = -8 + 8

Combine like terms: 14 + 8 = 22
22 + -1x + -6x2 = -8 + 8

Combine like terms: -8 + 8 = 0
22 + -1x + -6x2 = 0

Factor a trinomial.
(11 + -6x)(2 + x) = 0

Subproblem 1

Set the factor '(11 + -6x)' equal to zero and attempt to solve: Simplifying 11 + -6x = 0 Solving 11 + -6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -6x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -6x = 0 + -11 -6x = 0 + -11 Combine like terms: 0 + -11 = -11 -6x = -11 Divide each side by '-6'. x = 1.833333333 Simplifying x = 1.833333333

Subproblem 2

Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2

Solution

x = {1.833333333, -2}

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