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Simplifying x(8x + 17) = 3x2 + -21x + 63 Reorder the terms: x(17 + 8x) = 3x2 + -21x + 63 (17 * x + 8x * x) = 3x2 + -21x + 63 (17x + 8x2) = 3x2 + -21x + 63 Reorder the terms: 17x + 8x2 = 63 + -21x + 3x2 Solving 17x + 8x2 = 63 + -21x + 3x2 Solving for variable 'x'. Reorder the terms: -63 + 17x + 21x + 8x2 + -3x2 = 63 + -21x + 3x2 + -63 + 21x + -3x2 Combine like terms: 17x + 21x = 38x -63 + 38x + 8x2 + -3x2 = 63 + -21x + 3x2 + -63 + 21x + -3x2 Combine like terms: 8x2 + -3x2 = 5x2 -63 + 38x + 5x2 = 63 + -21x + 3x2 + -63 + 21x + -3x2 Reorder the terms: -63 + 38x + 5x2 = 63 + -63 + -21x + 21x + 3x2 + -3x2 Combine like terms: 63 + -63 = 0 -63 + 38x + 5x2 = 0 + -21x + 21x + 3x2 + -3x2 -63 + 38x + 5x2 = -21x + 21x + 3x2 + -3x2 Combine like terms: -21x + 21x = 0 -63 + 38x + 5x2 = 0 + 3x2 + -3x2 -63 + 38x + 5x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -63 + 38x + 5x2 = 0 Factor a trinomial. (-9 + -1x)(7 + -5x) = 0Subproblem 1
Set the factor '(-9 + -1x)' equal to zero and attempt to solve: Simplifying -9 + -1x = 0 Solving -9 + -1x = 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 + -1x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = 0 + 9 -1x = 0 + 9 Combine like terms: 0 + 9 = 9 -1x = 9 Divide each side by '-1'. x = -9 Simplifying x = -9Subproblem 2
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 = 1.4Solution
x = {-9, 1.4}
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