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Simplifying (3x + -5)(9x + 4) = 0 Reorder the terms: (-5 + 3x)(9x + 4) = 0 Reorder the terms: (-5 + 3x)(4 + 9x) = 0 Multiply (-5 + 3x) * (4 + 9x) (-5(4 + 9x) + 3x * (4 + 9x)) = 0 ((4 * -5 + 9x * -5) + 3x * (4 + 9x)) = 0 ((-20 + -45x) + 3x * (4 + 9x)) = 0 (-20 + -45x + (4 * 3x + 9x * 3x)) = 0 (-20 + -45x + (12x + 27x2)) = 0 Combine like terms: -45x + 12x = -33x (-20 + -33x + 27x2) = 0 Solving -20 + -33x + 27x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -9x)(5 + -3x) = 0Subproblem 1
Set the factor '(-4 + -9x)' equal to zero and attempt to solve: Simplifying -4 + -9x = 0 Solving -4 + -9x = 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 + -9x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -9x = 0 + 4 -9x = 0 + 4 Combine like terms: 0 + 4 = 4 -9x = 4 Divide each side by '-9'. x = -0.4444444444 Simplifying x = -0.4444444444Subproblem 2
Set the factor '(5 + -3x)' equal to zero and attempt to solve: Simplifying 5 + -3x = 0 Solving 5 + -3x = 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 + -3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 0 + -5 -3x = 0 + -5 Combine like terms: 0 + -5 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667Solution
x = {-0.4444444444, 1.666666667}
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