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Simplifying 4x(3x + -1) = 5x + 66 Reorder the terms: 4x(-1 + 3x) = 5x + 66 (-1 * 4x + 3x * 4x) = 5x + 66 (-4x + 12x2) = 5x + 66 Reorder the terms: -4x + 12x2 = 66 + 5x Solving -4x + 12x2 = 66 + 5x Solving for variable 'x'. Reorder the terms: -66 + -4x + -5x + 12x2 = 66 + 5x + -66 + -5x Combine like terms: -4x + -5x = -9x -66 + -9x + 12x2 = 66 + 5x + -66 + -5x Reorder the terms: -66 + -9x + 12x2 = 66 + -66 + 5x + -5x Combine like terms: 66 + -66 = 0 -66 + -9x + 12x2 = 0 + 5x + -5x -66 + -9x + 12x2 = 5x + -5x Combine like terms: 5x + -5x = 0 -66 + -9x + 12x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-22 + -3x + 4x2) = 0 Factor a trinomial. 3((-2 + -1x)(11 + -4x)) = 0 Ignore the factor 3.Subproblem 1
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 = -2Subproblem 2
Set the factor '(11 + -4x)' equal to zero and attempt to solve: Simplifying 11 + -4x = 0 Solving 11 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -4x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -4x = 0 + -11 -4x = 0 + -11 Combine like terms: 0 + -11 = -11 -4x = -11 Divide each side by '-4'. x = 2.75 Simplifying x = 2.75Solution
x = {-2, 2.75}
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