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Simplifying (6 + 3x)(6 + -5x) = 0 Multiply (6 + 3x) * (6 + -5x) (6(6 + -5x) + 3x * (6 + -5x)) = 0 ((6 * 6 + -5x * 6) + 3x * (6 + -5x)) = 0 ((36 + -30x) + 3x * (6 + -5x)) = 0 (36 + -30x + (6 * 3x + -5x * 3x)) = 0 (36 + -30x + (18x + -15x2)) = 0 Combine like terms: -30x + 18x = -12x (36 + -12x + -15x2) = 0 Solving 36 + -12x + -15x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(12 + -4x + -5x2) = 0 Factor a trinomial. 3((6 + -5x)(2 + x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(6 + -5x)' equal to zero and attempt to solve: Simplifying 6 + -5x = 0 Solving 6 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = 0 + -6 -5x = 0 + -6 Combine like terms: 0 + -6 = -6 -5x = -6 Divide each side by '-5'. x = 1.2 Simplifying x = 1.2Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {1.2, -2}
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