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Simplifying (x) = x(71 + -5x) x = x(71 + -5x) x = (71 * x + -5x * x) x = (71x + -5x2) Solving x = 71x + -5x2 Solving for variable 'x'. Combine like terms: x + -71x = -70x -70x + 5x2 = 71x + -5x2 + -71x + 5x2 Reorder the terms: -70x + 5x2 = 71x + -71x + -5x2 + 5x2 Combine like terms: 71x + -71x = 0 -70x + 5x2 = 0 + -5x2 + 5x2 -70x + 5x2 = -5x2 + 5x2 Combine like terms: -5x2 + 5x2 = 0 -70x + 5x2 = 0 Factor out the Greatest Common Factor (GCF), '5x'. 5x(-14 + x) = 0 Ignore the factor 5.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 '(-14 + x)' equal to zero and attempt to solve: Simplifying -14 + x = 0 Solving -14 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + x = 0 + 14 x = 0 + 14 Combine like terms: 0 + 14 = 14 x = 14 Simplifying x = 14Solution
x = {0, 14}
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