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Simplifying -44 + -29x = -6x2 + -2 Reorder the terms: -44 + -29x = -2 + -6x2 Solving -44 + -29x = -2 + -6x2 Solving for variable 'x'. Reorder the terms: -44 + 2 + -29x + 6x2 = -2 + -6x2 + 2 + 6x2 Combine like terms: -44 + 2 = -42 -42 + -29x + 6x2 = -2 + -6x2 + 2 + 6x2 Reorder the terms: -42 + -29x + 6x2 = -2 + 2 + -6x2 + 6x2 Combine like terms: -2 + 2 = 0 -42 + -29x + 6x2 = 0 + -6x2 + 6x2 -42 + -29x + 6x2 = -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 -42 + -29x + 6x2 = 0 Factor a trinomial. (-7 + -6x)(6 + -1x) = 0Subproblem 1
Set the factor '(-7 + -6x)' equal to zero and attempt to solve: Simplifying -7 + -6x = 0 Solving -7 + -6x = 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 + -6x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -6x = 0 + 7 -6x = 0 + 7 Combine like terms: 0 + 7 = 7 -6x = 7 Divide each side by '-6'. x = -1.166666667 Simplifying x = -1.166666667Subproblem 2
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 = 6Solution
x = {-1.166666667, 6}
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