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Simplifying 0 = 3x2 + -7x + -6 Reorder the terms: 0 = -6 + -7x + 3x2 Solving 0 = -6 + -7x + 3x2 Solving for variable 'x'. Combine like terms: 0 + 6 = 6 6 + 7x + -3x2 = -6 + -7x + 3x2 + 6 + 7x + -3x2 Reorder the terms: 6 + 7x + -3x2 = -6 + 6 + -7x + 7x + 3x2 + -3x2 Combine like terms: -6 + 6 = 0 6 + 7x + -3x2 = 0 + -7x + 7x + 3x2 + -3x2 6 + 7x + -3x2 = -7x + 7x + 3x2 + -3x2 Combine like terms: -7x + 7x = 0 6 + 7x + -3x2 = 0 + 3x2 + -3x2 6 + 7x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 6 + 7x + -3x2 = 0 Factor a trinomial. (3 + -1x)(2 + 3x) = 0Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Subproblem 2
Set the factor '(2 + 3x)' equal to zero and attempt to solve: Simplifying 2 + 3x = 0 Solving 2 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 0 + -2 3x = 0 + -2 Combine like terms: 0 + -2 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667Solution
x = {3, -0.6666666667}
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