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Simplifying 0 = 10x2 + 13x + -9 Reorder the terms: 0 = -9 + 13x + 10x2 Solving 0 = -9 + 13x + 10x2 Solving for variable 'x'. Combine like terms: 0 + 9 = 9 9 + -13x + -10x2 = -9 + 13x + 10x2 + 9 + -13x + -10x2 Reorder the terms: 9 + -13x + -10x2 = -9 + 9 + 13x + -13x + 10x2 + -10x2 Combine like terms: -9 + 9 = 0 9 + -13x + -10x2 = 0 + 13x + -13x + 10x2 + -10x2 9 + -13x + -10x2 = 13x + -13x + 10x2 + -10x2 Combine like terms: 13x + -13x = 0 9 + -13x + -10x2 = 0 + 10x2 + -10x2 9 + -13x + -10x2 = 10x2 + -10x2 Combine like terms: 10x2 + -10x2 = 0 9 + -13x + -10x2 = 0 Factor a trinomial. (1 + -2x)(9 + 5x) = 0Subproblem 1
Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 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 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Subproblem 2
Set the factor '(9 + 5x)' equal to zero and attempt to solve: Simplifying 9 + 5x = 0 Solving 9 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 5x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 5x = 0 + -9 5x = 0 + -9 Combine like terms: 0 + -9 = -9 5x = -9 Divide each side by '5'. x = -1.8 Simplifying x = -1.8Solution
x = {0.5, -1.8}
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