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Simplifying 500(x2 + 10) + -3250x = 0 Reorder the terms: 500(10 + x2) + -3250x = 0 (10 * 500 + x2 * 500) + -3250x = 0 (5000 + 500x2) + -3250x = 0 Reorder the terms: 5000 + -3250x + 500x2 = 0 Solving 5000 + -3250x + 500x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '250'. 250(20 + -13x + 2x2) = 0 Factor a trinomial. 250((5 + -2x)(4 + -1x)) = 0 Ignore the factor 250.Subproblem 1
Set the factor '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5Subproblem 2
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 = 4Solution
x = {2.5, 4}
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