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Simplifying (3x + 1)(x) = 80 Reorder the terms: (1 + 3x)(x) = 80 Reorder the terms for easier multiplication: x(1 + 3x) = 80 (1 * x + 3x * x) = 80 (1x + 3x2) = 80 Solving 1x + 3x2 = 80 Solving for variable 'x'. Reorder the terms: -80 + 1x + 3x2 = 80 + -80 Combine like terms: 80 + -80 = 0 -80 + 1x + 3x2 = 0 Factor a trinomial. (-16 + -3x)(5 + -1x) = 0Subproblem 1
Set the factor '(-16 + -3x)' equal to zero and attempt to solve: Simplifying -16 + -3x = 0 Solving -16 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -3x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -3x = 0 + 16 -3x = 0 + 16 Combine like terms: 0 + 16 = 16 -3x = 16 Divide each side by '-3'. x = -5.333333333 Simplifying x = -5.333333333Subproblem 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 = {-5.333333333, 5}
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