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Simplifying 9x2 + -18x + -1(16x2 + -80x) = 0 Reorder the terms: 9x2 + -18x + -1(-80x + 16x2) = 0 9x2 + -18x + (-80x * -1 + 16x2 * -1) = 0 9x2 + -18x + (80x + -16x2) = 0 Reorder the terms: -18x + 80x + 9x2 + -16x2 = 0 Combine like terms: -18x + 80x = 62x 62x + 9x2 + -16x2 = 0 Combine like terms: 9x2 + -16x2 = -7x2 62x + -7x2 = 0 Solving 62x + -7x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(62 + -7x) = 0Subproblem 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 '(62 + -7x)' equal to zero and attempt to solve: Simplifying 62 + -7x = 0 Solving 62 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-62' to each side of the equation. 62 + -62 + -7x = 0 + -62 Combine like terms: 62 + -62 = 0 0 + -7x = 0 + -62 -7x = 0 + -62 Combine like terms: 0 + -62 = -62 -7x = -62 Divide each side by '-7'. x = 8.857142857 Simplifying x = 8.857142857Solution
x = {0, 8.857142857}
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