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Simplifying 4x2 + 50x + -900 = 0 Reorder the terms: -900 + 50x + 4x2 = 0 Solving -900 + 50x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-450 + 25x + 2x2) = 0 Factor a trinomial. 2((-45 + -2x)(10 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-45 + -2x)' equal to zero and attempt to solve: Simplifying -45 + -2x = 0 Solving -45 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + -2x = 0 + 45 Combine like terms: -45 + 45 = 0 0 + -2x = 0 + 45 -2x = 0 + 45 Combine like terms: 0 + 45 = 45 -2x = 45 Divide each side by '-2'. x = -22.5 Simplifying x = -22.5Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Solution
x = {-22.5, 10}
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