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Simplifying 0 = -16x2 + 350x Reorder the terms: 0 = 350x + -16x2 Solving 0 = 350x + -16x2 Solving for variable 'x'. Remove the zero: -350x + 16x2 = 350x + -16x2 + -350x + 16x2 Reorder the terms: -350x + 16x2 = 350x + -350x + -16x2 + 16x2 Combine like terms: 350x + -350x = 0 -350x + 16x2 = 0 + -16x2 + 16x2 -350x + 16x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 -350x + 16x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(-175 + 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 '(-175 + 8x)' equal to zero and attempt to solve: Simplifying -175 + 8x = 0 Solving -175 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '175' to each side of the equation. -175 + 175 + 8x = 0 + 175 Combine like terms: -175 + 175 = 0 0 + 8x = 0 + 175 8x = 0 + 175 Combine like terms: 0 + 175 = 175 8x = 175 Divide each side by '8'. x = 21.875 Simplifying x = 21.875Solution
x = {0, 21.875}
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