14=-2x^2-11x

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Solution for 14=-2x^2-11x equation:


Simplifying
14 = -2x2 + -11x

Reorder the terms:
14 = -11x + -2x2

Solving
14 = -11x + -2x2

Solving for variable 'x'.

Reorder the terms:
14 + 11x + 2x2 = -11x + 11x + -2x2 + 2x2

Combine like terms: -11x + 11x = 0
14 + 11x + 2x2 = 0 + -2x2 + 2x2
14 + 11x + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
14 + 11x + 2x2 = 0

Factor a trinomial.
(7 + 2x)(2 + x) = 0

Subproblem 1

Set the factor '(7 + 2x)' equal to zero and attempt to solve: Simplifying 7 + 2x = 0 Solving 7 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 0 + -7 2x = 0 + -7 Combine like terms: 0 + -7 = -7 2x = -7 Divide each side by '2'. x = -3.5 Simplifying x = -3.5

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 = {-3.5, -2}

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