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Simplifying 3x + 36 = x2 + 8 Reorder the terms: 36 + 3x = x2 + 8 Reorder the terms: 36 + 3x = 8 + x2 Solving 36 + 3x = 8 + x2 Solving for variable 'x'. Reorder the terms: 36 + -8 + 3x + -1x2 = 8 + x2 + -8 + -1x2 Combine like terms: 36 + -8 = 28 28 + 3x + -1x2 = 8 + x2 + -8 + -1x2 Reorder the terms: 28 + 3x + -1x2 = 8 + -8 + x2 + -1x2 Combine like terms: 8 + -8 = 0 28 + 3x + -1x2 = 0 + x2 + -1x2 28 + 3x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 28 + 3x + -1x2 = 0 Factor a trinomial. (7 + -1x)(4 + x) = 0Subproblem 1
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Subproblem 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 = {7, -4}
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