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Simplifying 50X2 + -15X = 27 Reorder the terms: -15X + 50X2 = 27 Solving -15X + 50X2 = 27 Solving for variable 'X'. Reorder the terms: -27 + -15X + 50X2 = 27 + -27 Combine like terms: 27 + -27 = 0 -27 + -15X + 50X2 = 0 Factor a trinomial. (-3 + -5X)(9 + -10X) = 0Subproblem 1
Set the factor '(-3 + -5X)' equal to zero and attempt to solve: Simplifying -3 + -5X = 0 Solving -3 + -5X = 0 Move all terms containing X to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -5X = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5X = 0 + 3 -5X = 0 + 3 Combine like terms: 0 + 3 = 3 -5X = 3 Divide each side by '-5'. X = -0.6 Simplifying X = -0.6Subproblem 2
Set the factor '(9 + -10X)' equal to zero and attempt to solve: Simplifying 9 + -10X = 0 Solving 9 + -10X = 0 Move all terms containing X to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -10X = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -10X = 0 + -9 -10X = 0 + -9 Combine like terms: 0 + -9 = -9 -10X = -9 Divide each side by '-10'. X = 0.9 Simplifying X = 0.9Solution
X = {-0.6, 0.9}
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