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Simplifying 13x2 + -22x + -8 = 0 Reorder the terms: -8 + -22x + 13x2 = 0 Solving -8 + -22x + 13x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -13x)(2 + -1x) = 0Subproblem 1
Set the factor '(-4 + -13x)' equal to zero and attempt to solve: Simplifying -4 + -13x = 0 Solving -4 + -13x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -13x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -13x = 0 + 4 -13x = 0 + 4 Combine like terms: 0 + 4 = 4 -13x = 4 Divide each side by '-13'. x = -0.3076923077 Simplifying x = -0.3076923077Subproblem 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 = 2Solution
x = {-0.3076923077, 2}
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