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Simplifying 3(-7 + 3x)(-6 + -6x) = 0 Multiply (-7 + 3x) * (-6 + -6x) 3(-7(-6 + -6x) + 3x * (-6 + -6x)) = 0 3((-6 * -7 + -6x * -7) + 3x * (-6 + -6x)) = 0 3((42 + 42x) + 3x * (-6 + -6x)) = 0 3(42 + 42x + (-6 * 3x + -6x * 3x)) = 0 3(42 + 42x + (-18x + -18x2)) = 0 Combine like terms: 42x + -18x = 24x 3(42 + 24x + -18x2) = 0 (42 * 3 + 24x * 3 + -18x2 * 3) = 0 (126 + 72x + -54x2) = 0 Solving 126 + 72x + -54x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '18'. 18(7 + 4x + -3x2) = 0 Factor a trinomial. 18((7 + -3x)(1 + x)) = 0 Ignore the factor 18.Subproblem 1
Set the factor '(7 + -3x)' equal to zero and attempt to solve: Simplifying 7 + -3x = 0 Solving 7 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = 0 + -7 -3x = 0 + -7 Combine like terms: 0 + -7 = -7 -3x = -7 Divide each side by '-3'. x = 2.333333333 Simplifying x = 2.333333333Subproblem 2
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 = -1Solution
x = {2.333333333, -1}
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