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Simplifying X(450 + -3X) = 13200 (450 * X + -3X * X) = 13200 (450X + -3X2) = 13200 Solving 450X + -3X2 = 13200 Solving for variable 'X'. Reorder the terms: -13200 + 450X + -3X2 = 13200 + -13200 Combine like terms: 13200 + -13200 = 0 -13200 + 450X + -3X2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-4400 + 150X + -1X2) = 0 Factor a trinomial. 3((-110 + X)(40 + -1X)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-110 + X)' equal to zero and attempt to solve: Simplifying -110 + X = 0 Solving -110 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '110' to each side of the equation. -110 + 110 + X = 0 + 110 Combine like terms: -110 + 110 = 0 0 + X = 0 + 110 X = 0 + 110 Combine like terms: 0 + 110 = 110 X = 110 Simplifying X = 110Subproblem 2
Set the factor '(40 + -1X)' equal to zero and attempt to solve: Simplifying 40 + -1X = 0 Solving 40 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -1X = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -1X = 0 + -40 -1X = 0 + -40 Combine like terms: 0 + -40 = -40 -1X = -40 Divide each side by '-1'. X = 40 Simplifying X = 40Solution
X = {110, 40}
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