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Simplifying 625x2 + 25x + -10100 = 0 Reorder the terms: -10100 + 25x + 625x2 = 0 Solving -10100 + 25x + 625x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '25'. 25(-404 + x + 25x2) = 0 Factor a trinomial. 25((-101 + -25x)(4 + -1x)) = 0 Ignore the factor 25.Subproblem 1
Set the factor '(-101 + -25x)' equal to zero and attempt to solve: Simplifying -101 + -25x = 0 Solving -101 + -25x = 0 Move all terms containing x to the left, all other terms to the right. Add '101' to each side of the equation. -101 + 101 + -25x = 0 + 101 Combine like terms: -101 + 101 = 0 0 + -25x = 0 + 101 -25x = 0 + 101 Combine like terms: 0 + 101 = 101 -25x = 101 Divide each side by '-25'. x = -4.04 Simplifying x = -4.04Subproblem 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 = {-4.04, 4}
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