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Simplifying 24x = (x2) + 80 24x = x2 + 80 Reorder the terms: 24x = 80 + x2 Solving 24x = 80 + x2 Solving for variable 'x'. Reorder the terms: -80 + 24x + -1x2 = 80 + x2 + -80 + -1x2 Reorder the terms: -80 + 24x + -1x2 = 80 + -80 + x2 + -1x2 Combine like terms: 80 + -80 = 0 -80 + 24x + -1x2 = 0 + x2 + -1x2 -80 + 24x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -80 + 24x + -1x2 = 0 Factor a trinomial. (-20 + x)(4 + -1x) = 0Subproblem 1
Set the factor '(-20 + x)' equal to zero and attempt to solve: Simplifying -20 + x = 0 Solving -20 + x = 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 + x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + x = 0 + 20 x = 0 + 20 Combine like terms: 0 + 20 = 20 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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