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Simplifying (5 + -9x)(6 + 3x) = 0 Multiply (5 + -9x) * (6 + 3x) (5(6 + 3x) + -9x * (6 + 3x)) = 0 ((6 * 5 + 3x * 5) + -9x * (6 + 3x)) = 0 ((30 + 15x) + -9x * (6 + 3x)) = 0 (30 + 15x + (6 * -9x + 3x * -9x)) = 0 (30 + 15x + (-54x + -27x2)) = 0 Combine like terms: 15x + -54x = -39x (30 + -39x + -27x2) = 0 Solving 30 + -39x + -27x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(10 + -13x + -9x2) = 0 Factor a trinomial. 3((5 + -9x)(2 + x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(5 + -9x)' equal to zero and attempt to solve: Simplifying 5 + -9x = 0 Solving 5 + -9x = 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 + -9x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -9x = 0 + -5 -9x = 0 + -5 Combine like terms: 0 + -5 = -5 -9x = -5 Divide each side by '-9'. x = 0.5555555556 Simplifying x = 0.5555555556Subproblem 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 = {0.5555555556, -2}
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