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Simplifying 0 = -16x2 + 90x Reorder the terms: 0 = 90x + -16x2 Solving 0 = 90x + -16x2 Solving for variable 'x'. Remove the zero: -90x + 16x2 = 90x + -16x2 + -90x + 16x2 Reorder the terms: -90x + 16x2 = 90x + -90x + -16x2 + 16x2 Combine like terms: 90x + -90x = 0 -90x + 16x2 = 0 + -16x2 + 16x2 -90x + 16x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 -90x + 16x2 = 0 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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