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Simplifying (16x + 60) + (x2 + 40) = 180 Reorder the terms: (60 + 16x) + (x2 + 40) = 180 Remove parenthesis around (60 + 16x) 60 + 16x + (x2 + 40) = 180 Reorder the terms: 60 + 16x + (40 + x2) = 180 Remove parenthesis around (40 + x2) 60 + 16x + 40 + x2 = 180 Reorder the terms: 60 + 40 + 16x + x2 = 180 Combine like terms: 60 + 40 = 100 100 + 16x + x2 = 180 Solving 100 + 16x + x2 = 180 Solving for variable 'x'. Reorder the terms: 100 + -180 + 16x + x2 = 180 + -180 Combine like terms: 100 + -180 = -80 -80 + 16x + x2 = 180 + -180 Combine like terms: 180 + -180 = 0 -80 + 16x + x2 = 0 Factor a trinomial. (-20 + -1x)(4 + -1x) = 0Subproblem 1
Set the factor '(-20 + -1x)' equal to zero and attempt to solve: Simplifying -20 + -1x = 0 Solving -20 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -1x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -1x = 0 + 20 -1x = 0 + 20 Combine like terms: 0 + 20 = 20 -1x = 20 Divide each side by '-1'. x = -20 Simplifying x = -20Subproblem 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 = {-20, 4}
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