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Simplifying -6x2 + -6 = -7x + -9 Reorder the terms: -6 + -6x2 = -7x + -9 Reorder the terms: -6 + -6x2 = -9 + -7x Solving -6 + -6x2 = -9 + -7x Solving for variable 'x'. Reorder the terms: -6 + 9 + 7x + -6x2 = -9 + -7x + 9 + 7x Combine like terms: -6 + 9 = 3 3 + 7x + -6x2 = -9 + -7x + 9 + 7x Reorder the terms: 3 + 7x + -6x2 = -9 + 9 + -7x + 7x Combine like terms: -9 + 9 = 0 3 + 7x + -6x2 = 0 + -7x + 7x 3 + 7x + -6x2 = -7x + 7x Combine like terms: -7x + 7x = 0 3 + 7x + -6x2 = 0 Factor a trinomial. (3 + -2x)(1 + 3x) = 0Subproblem 1
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Subproblem 2
Set the factor '(1 + 3x)' equal to zero and attempt to solve: Simplifying 1 + 3x = 0 Solving 1 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 0 + -1 3x = 0 + -1 Combine like terms: 0 + -1 = -1 3x = -1 Divide each side by '3'. x = -0.3333333333 Simplifying x = -0.3333333333Solution
x = {1.5, -0.3333333333}
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