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Simplifying x2 + (x + 2) * 3 + 5 = 39 Reorder the terms: x2 + (2 + x) * 3 + 5 = 39 Reorder the terms for easier multiplication: x2 + 3(2 + x) + 5 = 39 x2 + (2 * 3 + x * 3) + 5 = 39 x2 + (6 + 3x) + 5 = 39 Reorder the terms: 6 + 5 + 3x + x2 = 39 Combine like terms: 6 + 5 = 11 11 + 3x + x2 = 39 Solving 11 + 3x + x2 = 39 Solving for variable 'x'. Reorder the terms: 11 + -39 + 3x + x2 = 39 + -39 Combine like terms: 11 + -39 = -28 -28 + 3x + x2 = 39 + -39 Combine like terms: 39 + -39 = 0 -28 + 3x + x2 = 0 Factor a trinomial. (-7 + -1x)(4 + -1x) = 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 + -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 = {-7, 4}
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