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Simplifying 348 = 3x2 + -55x + 416 Reorder the terms: 348 = 416 + -55x + 3x2 Solving 348 = 416 + -55x + 3x2 Solving for variable 'x'. Combine like terms: 348 + -416 = -68 -68 + 55x + -3x2 = 416 + -55x + 3x2 + -416 + 55x + -3x2 Reorder the terms: -68 + 55x + -3x2 = 416 + -416 + -55x + 55x + 3x2 + -3x2 Combine like terms: 416 + -416 = 0 -68 + 55x + -3x2 = 0 + -55x + 55x + 3x2 + -3x2 -68 + 55x + -3x2 = -55x + 55x + 3x2 + -3x2 Combine like terms: -55x + 55x = 0 -68 + 55x + -3x2 = 0 + 3x2 + -3x2 -68 + 55x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -68 + 55x + -3x2 = 0 Factor a trinomial. (-17 + x)(4 + -3x) = 0Subproblem 1
Set the factor '(-17 + x)' equal to zero and attempt to solve: Simplifying -17 + x = 0 Solving -17 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + x = 0 + 17 x = 0 + 17 Combine like terms: 0 + 17 = 17 x = 17 Simplifying x = 17Subproblem 2
Set the factor '(4 + -3x)' equal to zero and attempt to solve: Simplifying 4 + -3x = 0 Solving 4 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 0 + -4 -3x = 0 + -4 Combine like terms: 0 + -4 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333Solution
x = {17, 1.333333333}
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