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Simplifying 4x2 + -11x + 9 = -4x + 6 Reorder the terms: 9 + -11x + 4x2 = -4x + 6 Reorder the terms: 9 + -11x + 4x2 = 6 + -4x Solving 9 + -11x + 4x2 = 6 + -4x Solving for variable 'x'. Reorder the terms: 9 + -6 + -11x + 4x + 4x2 = 6 + -4x + -6 + 4x Combine like terms: 9 + -6 = 3 3 + -11x + 4x + 4x2 = 6 + -4x + -6 + 4x Combine like terms: -11x + 4x = -7x 3 + -7x + 4x2 = 6 + -4x + -6 + 4x Reorder the terms: 3 + -7x + 4x2 = 6 + -6 + -4x + 4x Combine like terms: 6 + -6 = 0 3 + -7x + 4x2 = 0 + -4x + 4x 3 + -7x + 4x2 = -4x + 4x Combine like terms: -4x + 4x = 0 3 + -7x + 4x2 = 0 Factor a trinomial. (3 + -4x)(1 + -1x) = 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 '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {0.75, 1}
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