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Simplifying -16x2 + 90x = 0 Reorder the terms: 90x + -16x2 = 0 Solving 90x + -16x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(45 + -8x) = 0 Ignore the factor 2.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 '(45 + -8x)' equal to zero and attempt to solve: Simplifying 45 + -8x = 0 Solving 45 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + -8x = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -8x = 0 + -45 -8x = 0 + -45 Combine like terms: 0 + -45 = -45 -8x = -45 Divide each side by '-8'. x = 5.625 Simplifying x = 5.625Solution
x = {0, 5.625}
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