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Simplifying 500x2 + -5200x + 12800 = 0 Reorder the terms: 12800 + -5200x + 500x2 = 0 Solving 12800 + -5200x + 500x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '100'. 100(128 + -52x + 5x2) = 0 Factor a trinomial. 100((4 + -1x)(32 + -5x)) = 0 Ignore the factor 100.Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Subproblem 2
Set the factor '(32 + -5x)' equal to zero and attempt to solve: Simplifying 32 + -5x = 0 Solving 32 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -5x = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -5x = 0 + -32 -5x = 0 + -32 Combine like terms: 0 + -32 = -32 -5x = -32 Divide each side by '-5'. x = 6.4 Simplifying x = 6.4Solution
x = {4, 6.4}
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