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Simplifying -3x(7 + -4x) = 6 (7 * -3x + -4x * -3x) = 6 (-21x + 12x2) = 6 Solving -21x + 12x2 = 6 Solving for variable 'x'. Reorder the terms: -6 + -21x + 12x2 = 6 + -6 Combine like terms: 6 + -6 = 0 -6 + -21x + 12x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-2 + -7x + 4x2) = 0 Factor a trinomial. 3((-1 + -4x)(2 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-1 + -4x)' equal to zero and attempt to solve: Simplifying -1 + -4x = 0 Solving -1 + -4x = 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 + -4x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -4x = 0 + 1 -4x = 0 + 1 Combine like terms: 0 + 1 = 1 -4x = 1 Divide each side by '-4'. x = -0.25 Simplifying x = -0.25Subproblem 2
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 = 2Solution
x = {-0.25, 2}
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