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Simplifying 3x2 = 42 + -11x Solving 3x2 = 42 + -11x Solving for variable 'x'. Reorder the terms: -42 + 11x + 3x2 = 42 + -11x + -42 + 11x Reorder the terms: -42 + 11x + 3x2 = 42 + -42 + -11x + 11x Combine like terms: 42 + -42 = 0 -42 + 11x + 3x2 = 0 + -11x + 11x -42 + 11x + 3x2 = -11x + 11x Combine like terms: -11x + 11x = 0 -42 + 11x + 3x2 = 0 Factor a trinomial. (-6 + -1x)(7 + -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 '(7 + -3x)' equal to zero and attempt to solve: Simplifying 7 + -3x = 0 Solving 7 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = 0 + -7 -3x = 0 + -7 Combine like terms: 0 + -7 = -7 -3x = -7 Divide each side by '-3'. x = 2.333333333 Simplifying x = 2.333333333Solution
x = {-6, 2.333333333}
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