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Simplifying (x + 2) + (2x + 4) + x + (x2 + -40) = 62 Reorder the terms: (2 + x) + (2x + 4) + x + (x2 + -40) = 62 Remove parenthesis around (2 + x) 2 + x + (2x + 4) + x + (x2 + -40) = 62 Reorder the terms: 2 + x + (4 + 2x) + x + (x2 + -40) = 62 Remove parenthesis around (4 + 2x) 2 + x + 4 + 2x + x + (x2 + -40) = 62 Reorder the terms: 2 + x + 4 + 2x + x + (-40 + x2) = 62 Remove parenthesis around (-40 + x2) 2 + x + 4 + 2x + x + -40 + x2 = 62 Reorder the terms: 2 + 4 + -40 + x + 2x + x + x2 = 62 Combine like terms: 2 + 4 = 6 6 + -40 + x + 2x + x + x2 = 62 Combine like terms: 6 + -40 = -34 -34 + x + 2x + x + x2 = 62 Combine like terms: x + 2x = 3x -34 + 3x + x + x2 = 62 Combine like terms: 3x + x = 4x -34 + 4x + x2 = 62 Solving -34 + 4x + x2 = 62 Solving for variable 'x'. Reorder the terms: -34 + -62 + 4x + x2 = 62 + -62 Combine like terms: -34 + -62 = -96 -96 + 4x + x2 = 62 + -62 Combine like terms: 62 + -62 = 0 -96 + 4x + x2 = 0 Factor a trinomial. (-12 + -1x)(8 + -1x) = 0Subproblem 1
Set the factor '(-12 + -1x)' equal to zero and attempt to solve: Simplifying -12 + -1x = 0 Solving -12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -1x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = 0 + 12 -1x = 0 + 12 Combine like terms: 0 + 12 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {-12, 8}
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