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Simplifying -13x2 + 63x + 10 = 0 Reorder the terms: 10 + 63x + -13x2 = 0 Solving 10 + 63x + -13x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + -1x)(2 + 13x) = 0Subproblem 1
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 = 5Subproblem 2
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 = -0.1538461538Solution
x = {5, -0.1538461538}
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