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Simplifying 52 + 5x + 30 = 3x2 + 4 Reorder the terms: 52 + 30 + 5x = 3x2 + 4 Combine like terms: 52 + 30 = 82 82 + 5x = 3x2 + 4 Reorder the terms: 82 + 5x = 4 + 3x2 Solving 82 + 5x = 4 + 3x2 Solving for variable 'x'. Reorder the terms: 82 + -4 + 5x + -3x2 = 4 + 3x2 + -4 + -3x2 Combine like terms: 82 + -4 = 78 78 + 5x + -3x2 = 4 + 3x2 + -4 + -3x2 Reorder the terms: 78 + 5x + -3x2 = 4 + -4 + 3x2 + -3x2 Combine like terms: 4 + -4 = 0 78 + 5x + -3x2 = 0 + 3x2 + -3x2 78 + 5x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 78 + 5x + -3x2 = 0 Factor a trinomial. (6 + -1x)(13 + 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 '(13 + 3x)' equal to zero and attempt to solve: Simplifying 13 + 3x = 0 Solving 13 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 3x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 3x = 0 + -13 3x = 0 + -13 Combine like terms: 0 + -13 = -13 3x = -13 Divide each side by '3'. x = -4.333333333 Simplifying x = -4.333333333Solution
x = {6, -4.333333333}
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