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Simplifying 5X2 + 20X = 385 Reorder the terms: 20X + 5X2 = 385 Solving 20X + 5X2 = 385 Solving for variable 'X'. Reorder the terms: -385 + 20X + 5X2 = 385 + -385 Combine like terms: 385 + -385 = 0 -385 + 20X + 5X2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-77 + 4X + X2) = 0 Factor a trinomial. 5((-11 + -1X)(7 + -1X)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-11 + -1X)' equal to zero and attempt to solve: Simplifying -11 + -1X = 0 Solving -11 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1X = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1X = 0 + 11 -1X = 0 + 11 Combine like terms: 0 + 11 = 11 -1X = 11 Divide each side by '-1'. X = -11 Simplifying X = -11Subproblem 2
Set the factor '(7 + -1X)' equal to zero and attempt to solve: Simplifying 7 + -1X = 0 Solving 7 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1X = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1X = 0 + -7 -1X = 0 + -7 Combine like terms: 0 + -7 = -7 -1X = -7 Divide each side by '-1'. X = 7 Simplifying X = 7Solution
X = {-11, 7}
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