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Simplifying 0 = -160x2 + 880x Reorder the terms: 0 = 880x + -160x2 Solving 0 = 880x + -160x2 Solving for variable 'x'. Remove the zero: -880x + 160x2 = 880x + -160x2 + -880x + 160x2 Reorder the terms: -880x + 160x2 = 880x + -880x + -160x2 + 160x2 Combine like terms: 880x + -880x = 0 -880x + 160x2 = 0 + -160x2 + 160x2 -880x + 160x2 = -160x2 + 160x2 Combine like terms: -160x2 + 160x2 = 0 -880x + 160x2 = 0 Factor out the Greatest Common Factor (GCF), '80x'. 80x(-11 + 2x) = 0 Ignore the factor 80.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 '(-11 + 2x)' equal to zero and attempt to solve: Simplifying -11 + 2x = 0 Solving -11 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 2x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 2x = 0 + 11 2x = 0 + 11 Combine like terms: 0 + 11 = 11 2x = 11 Divide each side by '2'. x = 5.5 Simplifying x = 5.5Solution
x = {0, 5.5}
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