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Simplifying (3x + 1) * x = 154 Reorder the terms: (1 + 3x) * x = 154 Reorder the terms for easier multiplication: x(1 + 3x) = 154 (1 * x + 3x * x) = 154 (1x + 3x2) = 154 Solving 1x + 3x2 = 154 Solving for variable 'x'. Reorder the terms: -154 + 1x + 3x2 = 154 + -154 Combine like terms: 154 + -154 = 0 -154 + 1x + 3x2 = 0 Factor a trinomial. (-22 + -3x)(7 + -1x) = 0Subproblem 1
Set the factor '(-22 + -3x)' equal to zero and attempt to solve: Simplifying -22 + -3x = 0 Solving -22 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + -3x = 0 + 22 Combine like terms: -22 + 22 = 0 0 + -3x = 0 + 22 -3x = 0 + 22 Combine like terms: 0 + 22 = 22 -3x = 22 Divide each side by '-3'. x = -7.333333333 Simplifying x = -7.333333333Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Solution
x = {-7.333333333, 7}
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