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Simplifying 3x2 + 17x = 328 Reorder the terms: 17x + 3x2 = 328 Solving 17x + 3x2 = 328 Solving for variable 'x'. Reorder the terms: -328 + 17x + 3x2 = 328 + -328 Combine like terms: 328 + -328 = 0 -328 + 17x + 3x2 = 0 Factor a trinomial. (-41 + -3x)(8 + -1x) = 0Subproblem 1
Set the factor '(-41 + -3x)' equal to zero and attempt to solve: Simplifying -41 + -3x = 0 Solving -41 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + -3x = 0 + 41 Combine like terms: -41 + 41 = 0 0 + -3x = 0 + 41 -3x = 0 + 41 Combine like terms: 0 + 41 = 41 -3x = 41 Divide each side by '-3'. x = -13.66666667 Simplifying x = -13.66666667Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {-13.66666667, 8}
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