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Simplifying -4x2 = 5x + -6 Reorder the terms: -4x2 = -6 + 5x Solving -4x2 = -6 + 5x Solving for variable 'x'. Reorder the terms: 6 + -5x + -4x2 = -6 + 5x + 6 + -5x Reorder the terms: 6 + -5x + -4x2 = -6 + 6 + 5x + -5x Combine like terms: -6 + 6 = 0 6 + -5x + -4x2 = 0 + 5x + -5x 6 + -5x + -4x2 = 5x + -5x Combine like terms: 5x + -5x = 0 6 + -5x + -4x2 = 0 Factor a trinomial. (3 + -4x)(2 + 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 '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {0.75, -2}
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