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Simplifying -8x2 + 600x + -11250 = 0 Reorder the terms: -11250 + 600x + -8x2 = 0 Solving -11250 + 600x + -8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-5625 + 300x + -4x2) = 0 Factor a trinomial. 2((-75 + 2x)(75 + -2x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-75 + 2x)' equal to zero and attempt to solve: Simplifying -75 + 2x = 0 Solving -75 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '75' to each side of the equation. -75 + 75 + 2x = 0 + 75 Combine like terms: -75 + 75 = 0 0 + 2x = 0 + 75 2x = 0 + 75 Combine like terms: 0 + 75 = 75 2x = 75 Divide each side by '2'. x = 37.5 Simplifying x = 37.5Subproblem 2
Set the factor '(75 + -2x)' equal to zero and attempt to solve: Simplifying 75 + -2x = 0 Solving 75 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-75' to each side of the equation. 75 + -75 + -2x = 0 + -75 Combine like terms: 75 + -75 = 0 0 + -2x = 0 + -75 -2x = 0 + -75 Combine like terms: 0 + -75 = -75 -2x = -75 Divide each side by '-2'. x = 37.5 Simplifying x = 37.5Solution
x = {37.5, 37.5}
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