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Simplifying -16x2 + 110x = 0 Reorder the terms: 110x + -16x2 = 0 Solving 110x + -16x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(55 + -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 '(55 + -8x)' equal to zero and attempt to solve: Simplifying 55 + -8x = 0 Solving 55 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + -55 + -8x = 0 + -55 Combine like terms: 55 + -55 = 0 0 + -8x = 0 + -55 -8x = 0 + -55 Combine like terms: 0 + -55 = -55 -8x = -55 Divide each side by '-8'. x = 6.875 Simplifying x = 6.875Solution
x = {0, 6.875}
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