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Simplifying (3x + 1)(x + 1) = 96 Reorder the terms: (1 + 3x)(x + 1) = 96 Reorder the terms: (1 + 3x)(1 + x) = 96 Multiply (1 + 3x) * (1 + x) (1(1 + x) + 3x * (1 + x)) = 96 ((1 * 1 + x * 1) + 3x * (1 + x)) = 96 ((1 + 1x) + 3x * (1 + x)) = 96 (1 + 1x + (1 * 3x + x * 3x)) = 96 (1 + 1x + (3x + 3x2)) = 96 Combine like terms: 1x + 3x = 4x (1 + 4x + 3x2) = 96 Solving 1 + 4x + 3x2 = 96 Solving for variable 'x'. Reorder the terms: 1 + -96 + 4x + 3x2 = 96 + -96 Combine like terms: 1 + -96 = -95 -95 + 4x + 3x2 = 96 + -96 Combine like terms: 96 + -96 = 0 -95 + 4x + 3x2 = 0 Factor a trinomial. (-19 + -3x)(5 + -1x) = 0Subproblem 1
Set the factor '(-19 + -3x)' equal to zero and attempt to solve: Simplifying -19 + -3x = 0 Solving -19 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -3x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -3x = 0 + 19 -3x = 0 + 19 Combine like terms: 0 + 19 = 19 -3x = 19 Divide each side by '-3'. x = -6.333333333 Simplifying x = -6.333333333Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {-6.333333333, 5}
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