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Simplifying (200x2) + -9000x + 99072 = 0 Reorder the terms: 99072 + -9000x + (200x2) = 0 Solving 99072 + -9000x + (200x2) = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '8'. 8(12384 + -1125x + (25x2)) = 0 Factor a trinomial. 8((96 + -5x)(129 + -5x)) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(96 + -5x)' equal to zero and attempt to solve: Simplifying 96 + -5x = 0 Solving 96 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-96' to each side of the equation. 96 + -96 + -5x = 0 + -96 Combine like terms: 96 + -96 = 0 0 + -5x = 0 + -96 -5x = 0 + -96 Combine like terms: 0 + -96 = -96 -5x = -96 Divide each side by '-5'. x = 19.2 Simplifying x = 19.2Subproblem 2
Set the factor '(129 + -5x)' equal to zero and attempt to solve: Simplifying 129 + -5x = 0 Solving 129 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-129' to each side of the equation. 129 + -129 + -5x = 0 + -129 Combine like terms: 129 + -129 = 0 0 + -5x = 0 + -129 -5x = 0 + -129 Combine like terms: 0 + -129 = -129 -5x = -129 Divide each side by '-5'. x = 25.8 Simplifying x = 25.8Solution
x = {19.2, 25.8}
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