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Simplifying 13x2 + -16x + -84 = 0 Reorder the terms: -84 + -16x + 13x2 = 0 Solving -84 + -16x + 13x2 = 0 Solving for variable 'x'. Factor a trinomial. (-2 + -1x)(42 + -13x) = 0Subproblem 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 = -2Subproblem 2
Set the factor '(42 + -13x)' equal to zero and attempt to solve: Simplifying 42 + -13x = 0 Solving 42 + -13x = 0 Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -13x = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -13x = 0 + -42 -13x = 0 + -42 Combine like terms: 0 + -42 = -42 -13x = -42 Divide each side by '-13'. x = 3.230769231 Simplifying x = 3.230769231Solution
x = {-2, 3.230769231}
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