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Simplifying 6x2 + -9x + -7 = x + -3 Reorder the terms: -7 + -9x + 6x2 = x + -3 Reorder the terms: -7 + -9x + 6x2 = -3 + x Solving -7 + -9x + 6x2 = -3 + x Solving for variable 'x'. Reorder the terms: -7 + 3 + -9x + -1x + 6x2 = -3 + x + 3 + -1x Combine like terms: -7 + 3 = -4 -4 + -9x + -1x + 6x2 = -3 + x + 3 + -1x Combine like terms: -9x + -1x = -10x -4 + -10x + 6x2 = -3 + x + 3 + -1x Reorder the terms: -4 + -10x + 6x2 = -3 + 3 + x + -1x Combine like terms: -3 + 3 = 0 -4 + -10x + 6x2 = 0 + x + -1x -4 + -10x + 6x2 = x + -1x Combine like terms: x + -1x = 0 -4 + -10x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-2 + -5x + 3x2) = 0 Factor a trinomial. 2((-1 + -3x)(2 + -1x)) = 0 Ignore the factor 2.Subproblem 1
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 = -0.3333333333Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-0.3333333333, 2}
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