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Simplifying 96 = (15 + -1x)(5 + -1x) Multiply (15 + -1x) * (5 + -1x) 96 = (15(5 + -1x) + -1x * (5 + -1x)) 96 = ((5 * 15 + -1x * 15) + -1x * (5 + -1x)) 96 = ((75 + -15x) + -1x * (5 + -1x)) 96 = (75 + -15x + (5 * -1x + -1x * -1x)) 96 = (75 + -15x + (-5x + 1x2)) Combine like terms: -15x + -5x = -20x 96 = (75 + -20x + 1x2) Solving 96 = 75 + -20x + 1x2 Solving for variable 'x'. Combine like terms: 96 + -75 = 21 21 + 20x + -1x2 = 75 + -20x + 1x2 + -75 + 20x + -1x2 Reorder the terms: 21 + 20x + -1x2 = 75 + -75 + -20x + 20x + 1x2 + -1x2 Combine like terms: 75 + -75 = 0 21 + 20x + -1x2 = 0 + -20x + 20x + 1x2 + -1x2 21 + 20x + -1x2 = -20x + 20x + 1x2 + -1x2 Combine like terms: -20x + 20x = 0 21 + 20x + -1x2 = 0 + 1x2 + -1x2 21 + 20x + -1x2 = 1x2 + -1x2 Combine like terms: 1x2 + -1x2 = 0 21 + 20x + -1x2 = 0 Factor a trinomial. (21 + -1x)(1 + x) = 0Subproblem 1
Set the factor '(21 + -1x)' equal to zero and attempt to solve: Simplifying 21 + -1x = 0 Solving 21 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -1x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -1x = 0 + -21 -1x = 0 + -21 Combine like terms: 0 + -21 = -21 -1x = -21 Divide each side by '-1'. x = 21 Simplifying x = 21Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {21, -1}
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