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Simplifying (9x + -4)(2x + 3) = 0 Reorder the terms: (-4 + 9x)(2x + 3) = 0 Reorder the terms: (-4 + 9x)(3 + 2x) = 0 Multiply (-4 + 9x) * (3 + 2x) (-4(3 + 2x) + 9x * (3 + 2x)) = 0 ((3 * -4 + 2x * -4) + 9x * (3 + 2x)) = 0 ((-12 + -8x) + 9x * (3 + 2x)) = 0 (-12 + -8x + (3 * 9x + 2x * 9x)) = 0 (-12 + -8x + (27x + 18x2)) = 0 Combine like terms: -8x + 27x = 19x (-12 + 19x + 18x2) = 0 Solving -12 + 19x + 18x2 = 0 Solving for variable 'x'. Factor a trinomial. (-3 + -2x)(4 + -9x) = 0Subproblem 1
Set the factor '(-3 + -2x)' equal to zero and attempt to solve: Simplifying -3 + -2x = 0 Solving -3 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -2x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = 0 + 3 -2x = 0 + 3 Combine like terms: 0 + 3 = 3 -2x = 3 Divide each side by '-2'. x = -1.5 Simplifying x = -1.5Subproblem 2
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 = 0.4444444444Solution
x = {-1.5, 0.4444444444}
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