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Simplifying 100X + X2 = 5600 Solving 100X + X2 = 5600 Solving for variable 'X'. Reorder the terms: -5600 + 100X + X2 = 5600 + -5600 Combine like terms: 5600 + -5600 = 0 -5600 + 100X + X2 = 0 Factor a trinomial. (-140 + -1X)(40 + -1X) = 0Subproblem 1
Set the factor '(-140 + -1X)' equal to zero and attempt to solve: Simplifying -140 + -1X = 0 Solving -140 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '140' to each side of the equation. -140 + 140 + -1X = 0 + 140 Combine like terms: -140 + 140 = 0 0 + -1X = 0 + 140 -1X = 0 + 140 Combine like terms: 0 + 140 = 140 -1X = 140 Divide each side by '-1'. X = -140 Simplifying X = -140Subproblem 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 = {-140, 40}
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