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Simplifying x(100 + -4x) = 616 (100 * x + -4x * x) = 616 (100x + -4x2) = 616 Solving 100x + -4x2 = 616 Solving for variable 'x'. Reorder the terms: -616 + 100x + -4x2 = 616 + -616 Combine like terms: 616 + -616 = 0 -616 + 100x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-154 + 25x + -1x2) = 0 Factor a trinomial. 4((-14 + x)(11 + -1x)) = 0 Ignore the factor 4.Subproblem 1
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 = 14Subproblem 2
Set the factor '(11 + -1x)' equal to zero and attempt to solve: Simplifying 11 + -1x = 0 Solving 11 + -1x = 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 + -1x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 0 + -11 -1x = 0 + -11 Combine like terms: 0 + -11 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11Solution
x = {14, 11}
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