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Simplifying 13X + -36 = X2 Reorder the terms: -36 + 13X = X2 Solving -36 + 13X = X2 Solving for variable 'X'. Combine like terms: X2 + -1X2 = 0 -36 + 13X + -1X2 = 0 Factor a trinomial. (-9 + X)(4 + -1X) = 0Subproblem 1
Set the factor '(-9 + X)' equal to zero and attempt to solve: Simplifying -9 + X = 0 Solving -9 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + X = 0 + 9 Combine like terms: -9 + 9 = 0 0 + X = 0 + 9 X = 0 + 9 Combine like terms: 0 + 9 = 9 X = 9 Simplifying X = 9Subproblem 2
Set the factor '(4 + -1X)' equal to zero and attempt to solve: Simplifying 4 + -1X = 0 Solving 4 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1X = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1X = 0 + -4 -1X = 0 + -4 Combine like terms: 0 + -4 = -4 -1X = -4 Divide each side by '-1'. X = 4 Simplifying X = 4Solution
X = {9, 4}
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