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Simplifying 3x2 = 2x + 645 Reorder the terms: 3x2 = 645 + 2x Solving 3x2 = 645 + 2x Solving for variable 'x'. Reorder the terms: -645 + -2x + 3x2 = 645 + 2x + -645 + -2x Reorder the terms: -645 + -2x + 3x2 = 645 + -645 + 2x + -2x Combine like terms: 645 + -645 = 0 -645 + -2x + 3x2 = 0 + 2x + -2x -645 + -2x + 3x2 = 2x + -2x Combine like terms: 2x + -2x = 0 -645 + -2x + 3x2 = 0 Factor a trinomial. (-43 + -3x)(15 + -1x) = 0Subproblem 1
Set the factor '(-43 + -3x)' equal to zero and attempt to solve: Simplifying -43 + -3x = 0 Solving -43 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '43' to each side of the equation. -43 + 43 + -3x = 0 + 43 Combine like terms: -43 + 43 = 0 0 + -3x = 0 + 43 -3x = 0 + 43 Combine like terms: 0 + 43 = 43 -3x = 43 Divide each side by '-3'. x = -14.33333333 Simplifying x = -14.33333333Subproblem 2
Set the factor '(15 + -1x)' equal to zero and attempt to solve: Simplifying 15 + -1x = 0 Solving 15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15Solution
x = {-14.33333333, 15}
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