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Simplifying 13x2 + 7x + -9 = 29 Reorder the terms: -9 + 7x + 13x2 = 29 Solving -9 + 7x + 13x2 = 29 Solving for variable 'x'. Reorder the terms: -9 + -29 + 7x + 13x2 = 29 + -29 Combine like terms: -9 + -29 = -38 -38 + 7x + 13x2 = 29 + -29 Combine like terms: 29 + -29 = 0 -38 + 7x + 13x2 = 0 Factor a trinomial. (-2 + -1x)(19 + -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 '(19 + -13x)' equal to zero and attempt to solve: Simplifying 19 + -13x = 0 Solving 19 + -13x = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -13x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -13x = 0 + -19 -13x = 0 + -19 Combine like terms: 0 + -19 = -19 -13x = -19 Divide each side by '-13'. x = 1.461538462 Simplifying x = 1.461538462Solution
x = {-2, 1.461538462}
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