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Simplifying 100 = X2 + -15X Reorder the terms: 100 = -15X + X2 Solving 100 = -15X + X2 Solving for variable 'X'. Reorder the terms: 100 + 15X + -1X2 = -15X + 15X + X2 + -1X2 Combine like terms: -15X + 15X = 0 100 + 15X + -1X2 = 0 + X2 + -1X2 100 + 15X + -1X2 = X2 + -1X2 Combine like terms: X2 + -1X2 = 0 100 + 15X + -1X2 = 0 Factor a trinomial. (20 + -1X)(5 + X) = 0Subproblem 1
Set the factor '(20 + -1X)' equal to zero and attempt to solve: Simplifying 20 + -1X = 0 Solving 20 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1X = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1X = 0 + -20 -1X = 0 + -20 Combine like terms: 0 + -20 = -20 -1X = -20 Divide each side by '-1'. X = 20 Simplifying X = 20Subproblem 2
Set the factor '(5 + X)' equal to zero and attempt to solve: Simplifying 5 + X = 0 Solving 5 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + X = 0 + -5 Combine like terms: 5 + -5 = 0 0 + X = 0 + -5 X = 0 + -5 Combine like terms: 0 + -5 = -5 X = -5 Simplifying X = -5Solution
X = {20, -5}
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