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Simplifying ((-6) * x + (-3))((-5) * x + (9)) = 0 (-6x + -3)((-5) * x + (9)) = 0 Reorder the terms: (-3 + -6x)((-5) * x + (9)) = 0 (-3 + -6x)(-5x + 9) = 0 Reorder the terms: (-3 + -6x)(9 + -5x) = 0 Multiply (-3 + -6x) * (9 + -5x) (-3(9 + -5x) + -6x * (9 + -5x)) = 0 ((9 * -3 + -5x * -3) + -6x * (9 + -5x)) = 0 ((-27 + 15x) + -6x * (9 + -5x)) = 0 (-27 + 15x + (9 * -6x + -5x * -6x)) = 0 (-27 + 15x + (-54x + 30x2)) = 0 Combine like terms: 15x + -54x = -39x (-27 + -39x + 30x2) = 0 Solving -27 + -39x + 30x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(-9 + -13x + 10x2) = 0 Factor a trinomial. 3((-1 + -2x)(9 + -5x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-1 + -2x)' equal to zero and attempt to solve: Simplifying -1 + -2x = 0 Solving -1 + -2x = 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 + -2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = 0 + 1 -2x = 0 + 1 Combine like terms: 0 + 1 = 1 -2x = 1 Divide each side by '-2'. x = -0.5 Simplifying x = -0.5Subproblem 2
Set the factor '(9 + -5x)' equal to zero and attempt to solve: Simplifying 9 + -5x = 0 Solving 9 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -5x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5x = 0 + -9 -5x = 0 + -9 Combine like terms: 0 + -9 = -9 -5x = -9 Divide each side by '-5'. x = 1.8 Simplifying x = 1.8Solution
x = {-0.5, 1.8}
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