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Simplifying (9x + -5)(3x + 4) = 0 Reorder the terms: (-5 + 9x)(3x + 4) = 0 Reorder the terms: (-5 + 9x)(4 + 3x) = 0 Multiply (-5 + 9x) * (4 + 3x) (-5(4 + 3x) + 9x * (4 + 3x)) = 0 ((4 * -5 + 3x * -5) + 9x * (4 + 3x)) = 0 ((-20 + -15x) + 9x * (4 + 3x)) = 0 (-20 + -15x + (4 * 9x + 3x * 9x)) = 0 (-20 + -15x + (36x + 27x2)) = 0 Combine like terms: -15x + 36x = 21x (-20 + 21x + 27x2) = 0 Solving -20 + 21x + 27x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -3x)(5 + -9x) = 0Subproblem 1
Set the factor '(-4 + -3x)' equal to zero and attempt to solve: Simplifying -4 + -3x = 0 Solving -4 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -3x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = 0 + 4 -3x = 0 + 4 Combine like terms: 0 + 4 = 4 -3x = 4 Divide each side by '-3'. x = -1.333333333 Simplifying x = -1.333333333Subproblem 2
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 = 0.5555555556Solution
x = {-1.333333333, 0.5555555556}
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