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Simplifying 2x(3 + -4x) + -6 = x + -9x (3 * 2x + -4x * 2x) + -6 = x + -9x (6x + -8x2) + -6 = x + -9x Reorder the terms: -6 + 6x + -8x2 = x + -9x Combine like terms: x + -9x = -8x -6 + 6x + -8x2 = -8x Solving -6 + 6x + -8x2 = -8x Solving for variable 'x'. Reorder the terms: -6 + 6x + 8x + -8x2 = -8x + 8x Combine like terms: 6x + 8x = 14x -6 + 14x + -8x2 = -8x + 8x Combine like terms: -8x + 8x = 0 -6 + 14x + -8x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-3 + 7x + -4x2) = 0 Factor a trinomial. 2((-1 + x)(3 + -4x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + x)' equal to zero and attempt to solve: Simplifying -1 + x = 0 Solving -1 + x = 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 + x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x = 0 + 1 x = 0 + 1 Combine like terms: 0 + 1 = 1 x = 1 Simplifying x = 1Subproblem 2
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 = 0.75Solution
x = {1, 0.75}
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