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Simplifying 4x2 + 18x + -400 = 0 Reorder the terms: -400 + 18x + 4x2 = 0 Solving -400 + 18x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-200 + 9x + 2x2) = 0 Factor a trinomial. 2((-25 + -2x)(8 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-25 + -2x)' equal to zero and attempt to solve: Simplifying -25 + -2x = 0 Solving -25 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -2x = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -2x = 0 + 25 -2x = 0 + 25 Combine like terms: 0 + 25 = 25 -2x = 25 Divide each side by '-2'. x = -12.5 Simplifying x = -12.5Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {-12.5, 8}
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