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Simplifying 0 = 4x2 + 50x + -150 Reorder the terms: 0 = -150 + 50x + 4x2 Solving 0 = -150 + 50x + 4x2 Solving for variable 'x'. Combine like terms: 0 + 150 = 150 150 + -50x + -4x2 = -150 + 50x + 4x2 + 150 + -50x + -4x2 Reorder the terms: 150 + -50x + -4x2 = -150 + 150 + 50x + -50x + 4x2 + -4x2 Combine like terms: -150 + 150 = 0 150 + -50x + -4x2 = 0 + 50x + -50x + 4x2 + -4x2 150 + -50x + -4x2 = 50x + -50x + 4x2 + -4x2 Combine like terms: 50x + -50x = 0 150 + -50x + -4x2 = 0 + 4x2 + -4x2 150 + -50x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 150 + -50x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(75 + -25x + -2x2) = 0 Factor a trinomial. 2((5 + -2x)(15 + x)) = 0 Ignore the factor 2.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 '(15 + x)' equal to zero and attempt to solve: Simplifying 15 + x = 0 Solving 15 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + x = 0 + -15 x = 0 + -15 Combine like terms: 0 + -15 = -15 x = -15 Simplifying x = -15Solution
x = {2.5, -15}
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