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Simplifying -2x(6x + -5) + 4 = -12x + 14 Reorder the terms: -2x(-5 + 6x) + 4 = -12x + 14 (-5 * -2x + 6x * -2x) + 4 = -12x + 14 (10x + -12x2) + 4 = -12x + 14 Reorder the terms: 4 + 10x + -12x2 = -12x + 14 Reorder the terms: 4 + 10x + -12x2 = 14 + -12x Solving 4 + 10x + -12x2 = 14 + -12x Solving for variable 'x'. Reorder the terms: 4 + -14 + 10x + 12x + -12x2 = 14 + -12x + -14 + 12x Combine like terms: 4 + -14 = -10 -10 + 10x + 12x + -12x2 = 14 + -12x + -14 + 12x Combine like terms: 10x + 12x = 22x -10 + 22x + -12x2 = 14 + -12x + -14 + 12x Reorder the terms: -10 + 22x + -12x2 = 14 + -14 + -12x + 12x Combine like terms: 14 + -14 = 0 -10 + 22x + -12x2 = 0 + -12x + 12x -10 + 22x + -12x2 = -12x + 12x Combine like terms: -12x + 12x = 0 -10 + 22x + -12x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-5 + 11x + -6x2) = 0 Factor a trinomial. 2((-1 + x)(5 + -6x)) = 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 '(5 + -6x)' equal to zero and attempt to solve: Simplifying 5 + -6x = 0 Solving 5 + -6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -6x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6x = 0 + -5 -6x = 0 + -5 Combine like terms: 0 + -5 = -5 -6x = -5 Divide each side by '-6'. x = 0.8333333333 Simplifying x = 0.8333333333Solution
x = {1, 0.8333333333}
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