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Simplifying 8X2 + 13X = 7X2 + -36 Reorder the terms: 13X + 8X2 = 7X2 + -36 Reorder the terms: 13X + 8X2 = -36 + 7X2 Solving 13X + 8X2 = -36 + 7X2 Solving for variable 'X'. Reorder the terms: 36 + 13X + 8X2 + -7X2 = -36 + 7X2 + 36 + -7X2 Combine like terms: 8X2 + -7X2 = 1X2 36 + 13X + 1X2 = -36 + 7X2 + 36 + -7X2 Reorder the terms: 36 + 13X + 1X2 = -36 + 36 + 7X2 + -7X2 Combine like terms: -36 + 36 = 0 36 + 13X + 1X2 = 0 + 7X2 + -7X2 36 + 13X + 1X2 = 7X2 + -7X2 Combine like terms: 7X2 + -7X2 = 0 36 + 13X + 1X2 = 0 Factor a trinomial. (9 + X)(4 + X) = 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 + X)' equal to zero and attempt to solve: Simplifying 4 + X = 0 Solving 4 + X = 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 + X = 0 + -4 Combine like terms: 4 + -4 = 0 0 + X = 0 + -4 X = 0 + -4 Combine like terms: 0 + -4 = -4 X = -4 Simplifying X = -4Solution
X = {-9, -4}
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