13x^2-11x-2=0

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Solution for 13x^2-11x-2=0 equation:


Simplifying
13x2 + -11x + -2 = 0

Reorder the terms:
-2 + -11x + 13x2 = 0

Solving
-2 + -11x + 13x2 = 0

Solving for variable 'x'.

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

Subproblem 1

Set the factor '(-2 + -13x)' equal to zero and attempt to solve: Simplifying -2 + -13x = 0 Solving -2 + -13x = 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 + -13x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -13x = 0 + 2 -13x = 0 + 2 Combine like terms: 0 + 2 = 2 -13x = 2 Divide each side by '-13'. x = -0.1538461538 Simplifying x = -0.1538461538

Subproblem 2

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

Solution

x = {-0.1538461538, 1}

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