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Simplifying 3X(2X + -32) = 4X2 + -1X Reorder the terms: 3X(-32 + 2X) = 4X2 + -1X (-32 * 3X + 2X * 3X) = 4X2 + -1X (-96X + 6X2) = 4X2 + -1X Reorder the terms: -96X + 6X2 = -1X + 4X2 Solving -96X + 6X2 = -1X + 4X2 Solving for variable 'X'. Reorder the terms: -96X + X + 6X2 + -4X2 = -1X + 4X2 + X + -4X2 Combine like terms: -96X + X = -95X -95X + 6X2 + -4X2 = -1X + 4X2 + X + -4X2 Combine like terms: 6X2 + -4X2 = 2X2 -95X + 2X2 = -1X + 4X2 + X + -4X2 Reorder the terms: -95X + 2X2 = -1X + X + 4X2 + -4X2 Combine like terms: -1X + X = 0 -95X + 2X2 = 0 + 4X2 + -4X2 -95X + 2X2 = 4X2 + -4X2 Combine like terms: 4X2 + -4X2 = 0 -95X + 2X2 = 0 Factor out the Greatest Common Factor (GCF), 'X'. X(-95 + 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 '(-95 + 2X)' equal to zero and attempt to solve: Simplifying -95 + 2X = 0 Solving -95 + 2X = 0 Move all terms containing X to the left, all other terms to the right. Add '95' to each side of the equation. -95 + 95 + 2X = 0 + 95 Combine like terms: -95 + 95 = 0 0 + 2X = 0 + 95 2X = 0 + 95 Combine like terms: 0 + 95 = 95 2X = 95 Divide each side by '2'. X = 47.5 Simplifying X = 47.5Solution
X = {0, 47.5}
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