12(x^2)-11x-26=0

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Solution for 12(x^2)-11x-26=0 equation:


Simplifying
12(x2) + -11x + -26 = 0

Reorder the terms:
-26 + -11x + 12x2 = 0

Solving
-26 + -11x + 12x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-13 + -12x)(2 + -1x) = 0

Subproblem 1

Set the factor '(-13 + -12x)' equal to zero and attempt to solve: Simplifying -13 + -12x = 0 Solving -13 + -12x = 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 + -12x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -12x = 0 + 13 -12x = 0 + 13 Combine like terms: 0 + 13 = 13 -12x = 13 Divide each side by '-12'. x = -1.083333333 Simplifying x = -1.083333333

Subproblem 2

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

Solution

x = {-1.083333333, 2}

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