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Simplifying 133 = 3x2 + 4x + 1 Reorder the terms: 133 = 1 + 4x + 3x2 Solving 133 = 1 + 4x + 3x2 Solving for variable 'x'. Combine like terms: 133 + -1 = 132 132 + -4x + -3x2 = 1 + 4x + 3x2 + -1 + -4x + -3x2 Reorder the terms: 132 + -4x + -3x2 = 1 + -1 + 4x + -4x + 3x2 + -3x2 Combine like terms: 1 + -1 = 0 132 + -4x + -3x2 = 0 + 4x + -4x + 3x2 + -3x2 132 + -4x + -3x2 = 4x + -4x + 3x2 + -3x2 Combine like terms: 4x + -4x = 0 132 + -4x + -3x2 = 0 + 3x2 + -3x2 132 + -4x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 132 + -4x + -3x2 = 0 Factor a trinomial. (6 + -1x)(22 + 3x) = 0Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Subproblem 2
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 = -7.333333333Solution
x = {6, -7.333333333}
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