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Simplifying (3x + -4)(9x + 5) = 0 Reorder the terms: (-4 + 3x)(9x + 5) = 0 Reorder the terms: (-4 + 3x)(5 + 9x) = 0 Multiply (-4 + 3x) * (5 + 9x) (-4(5 + 9x) + 3x * (5 + 9x)) = 0 ((5 * -4 + 9x * -4) + 3x * (5 + 9x)) = 0 ((-20 + -36x) + 3x * (5 + 9x)) = 0 (-20 + -36x + (5 * 3x + 9x * 3x)) = 0 (-20 + -36x + (15x + 27x2)) = 0 Combine like terms: -36x + 15x = -21x (-20 + -21x + 27x2) = 0 Solving -20 + -21x + 27x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -9x)(4 + -3x) = 0Subproblem 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 '(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 = 1.333333333Solution
x = {-0.5555555556, 1.333333333}
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