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Simplifying 9 + -2x2 + -3x + -2x2 = 6x Reorder the terms: 9 + -3x + -2x2 + -2x2 = 6x Combine like terms: -2x2 + -2x2 = -4x2 9 + -3x + -4x2 = 6x Solving 9 + -3x + -4x2 = 6x Solving for variable 'x'. Reorder the terms: 9 + -3x + -6x + -4x2 = 6x + -6x Combine like terms: -3x + -6x = -9x 9 + -9x + -4x2 = 6x + -6x Combine like terms: 6x + -6x = 0 9 + -9x + -4x2 = 0 Factor a trinomial. (3 + -4x)(3 + x) = 0Subproblem 1
Set the factor '(3 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 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 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {0.75, -3}
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