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Simplifying 180 = 3x2 + 10x + 12 Reorder the terms: 180 = 12 + 10x + 3x2 Solving 180 = 12 + 10x + 3x2 Solving for variable 'x'. Combine like terms: 180 + -12 = 168 168 + -10x + -3x2 = 12 + 10x + 3x2 + -12 + -10x + -3x2 Reorder the terms: 168 + -10x + -3x2 = 12 + -12 + 10x + -10x + 3x2 + -3x2 Combine like terms: 12 + -12 = 0 168 + -10x + -3x2 = 0 + 10x + -10x + 3x2 + -3x2 168 + -10x + -3x2 = 10x + -10x + 3x2 + -3x2 Combine like terms: 10x + -10x = 0 168 + -10x + -3x2 = 0 + 3x2 + -3x2 168 + -10x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 168 + -10x + -3x2 = 0 Factor a trinomial. (6 + -1x)(28 + 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 '(28 + 3x)' equal to zero and attempt to solve: Simplifying 28 + 3x = 0 Solving 28 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 3x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 3x = 0 + -28 3x = 0 + -28 Combine like terms: 0 + -28 = -28 3x = -28 Divide each side by '3'. x = -9.333333333 Simplifying x = -9.333333333Solution
x = {6, -9.333333333}
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