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Simplifying 2x2 + -13x + 8 = -7 Reorder the terms: 8 + -13x + 2x2 = -7 Solving 8 + -13x + 2x2 = -7 Solving for variable 'x'. Reorder the terms: 8 + 7 + -13x + 2x2 = -7 + 7 Combine like terms: 8 + 7 = 15 15 + -13x + 2x2 = -7 + 7 Combine like terms: -7 + 7 = 0 15 + -13x + 2x2 = 0 Factor a trinomial. (3 + -2x)(5 + -1x) = 0Subproblem 1
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {1.5, 5}
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