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Simplifying 50 + -1(2X2 + -15X + 50) = 0 Reorder the terms: 50 + -1(50 + -15X + 2X2) = 0 50 + (50 * -1 + -15X * -1 + 2X2 * -1) = 0 50 + (-50 + 15X + -2X2) = 0 Combine like terms: 50 + -50 = 0 0 + 15X + -2X2 = 0 15X + -2X2 = 0 Solving 15X + -2X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), 'X'. X(15 + -2X) = 0Subproblem 1
Set the factor 'X' equal to zero and attempt to solve: Simplifying X = 0 Solving X = 0 Move all terms containing X to the left, all other terms to the right. Simplifying X = 0Subproblem 2
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 = 7.5Solution
X = {0, 7.5}
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