-11x^2+9x+26=0

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Solution for -11x^2+9x+26=0 equation:


Simplifying
-11x2 + 9x + 26 = 0

Reorder the terms:
26 + 9x + -11x2 = 0

Solving
26 + 9x + -11x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2 + -1x)(13 + 11x) = 0

Subproblem 1

Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

Subproblem 2

Set the factor '(13 + 11x)' equal to zero and attempt to solve: Simplifying 13 + 11x = 0 Solving 13 + 11x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 11x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 11x = 0 + -13 11x = 0 + -13 Combine like terms: 0 + -13 = -13 11x = -13 Divide each side by '11'. x = -1.181818182 Simplifying x = -1.181818182

Solution

x = {2, -1.181818182}

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