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Simplifying 16X2 + 80X + -300 = 0 Reorder the terms: -300 + 80X + 16X2 = 0 Solving -300 + 80X + 16X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '4'. 4(-75 + 20X + 4X2) = 0 Factor a trinomial. 4((-15 + -2X)(5 + -2X)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-15 + -2X)' equal to zero and attempt to solve: Simplifying -15 + -2X = 0 Solving -15 + -2X = 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 + -2X = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -2X = 0 + 15 -2X = 0 + 15 Combine like terms: 0 + 15 = 15 -2X = 15 Divide each side by '-2'. X = -7.5 Simplifying X = -7.5Subproblem 2
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 = 2.5Solution
X = {-7.5, 2.5}
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