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Simplifying 0 = 5x2 + 38x + -63 Reorder the terms: 0 = -63 + 38x + 5x2 Solving 0 = -63 + 38x + 5x2 Solving for variable 'x'. Combine like terms: 0 + 63 = 63 63 + -38x + -5x2 = -63 + 38x + 5x2 + 63 + -38x + -5x2 Reorder the terms: 63 + -38x + -5x2 = -63 + 63 + 38x + -38x + 5x2 + -5x2 Combine like terms: -63 + 63 = 0 63 + -38x + -5x2 = 0 + 38x + -38x + 5x2 + -5x2 63 + -38x + -5x2 = 38x + -38x + 5x2 + -5x2 Combine like terms: 38x + -38x = 0 63 + -38x + -5x2 = 0 + 5x2 + -5x2 63 + -38x + -5x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 63 + -38x + -5x2 = 0 Factor a trinomial. (7 + -5x)(9 + x) = 0Subproblem 1
Set the factor '(7 + -5x)' equal to zero and attempt to solve: Simplifying 7 + -5x = 0 Solving 7 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -5x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = 0 + -7 -5x = 0 + -7 Combine like terms: 0 + -7 = -7 -5x = -7 Divide each side by '-5'. x = 1.4 Simplifying x = 1.4Subproblem 2
Set the factor '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 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 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Simplifying x = -9Solution
x = {1.4, -9}
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