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Simplifying -8x(5x + 7) + -1x(-3x + -8) = 0 Reorder the terms: -8x(7 + 5x) + -1x(-3x + -8) = 0 (7 * -8x + 5x * -8x) + -1x(-3x + -8) = 0 (-56x + -40x2) + -1x(-3x + -8) = 0 Reorder the terms: -56x + -40x2 + -1x(-8 + -3x) = 0 -56x + -40x2 + (-8 * -1x + -3x * -1x) = 0 -56x + -40x2 + (8x + 3x2) = 0 Reorder the terms: -56x + 8x + -40x2 + 3x2 = 0 Combine like terms: -56x + 8x = -48x -48x + -40x2 + 3x2 = 0 Combine like terms: -40x2 + 3x2 = -37x2 -48x + -37x2 = 0 Solving -48x + -37x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1x'. -1x(48 + 37x) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(48 + 37x)' equal to zero and attempt to solve: Simplifying 48 + 37x = 0 Solving 48 + 37x = 0 Move all terms containing x to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 37x = 0 + -48 Combine like terms: 48 + -48 = 0 0 + 37x = 0 + -48 37x = 0 + -48 Combine like terms: 0 + -48 = -48 37x = -48 Divide each side by '37'. x = -1.297297297 Simplifying x = -1.297297297Solution
x = {0, -1.297297297}
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