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Simplifying (4x + 3)(2x + -9) = 0 Reorder the terms: (3 + 4x)(2x + -9) = 0 Reorder the terms: (3 + 4x)(-9 + 2x) = 0 Multiply (3 + 4x) * (-9 + 2x) (3(-9 + 2x) + 4x * (-9 + 2x)) = 0 ((-9 * 3 + 2x * 3) + 4x * (-9 + 2x)) = 0 ((-27 + 6x) + 4x * (-9 + 2x)) = 0 (-27 + 6x + (-9 * 4x + 2x * 4x)) = 0 (-27 + 6x + (-36x + 8x2)) = 0 Combine like terms: 6x + -36x = -30x (-27 + -30x + 8x2) = 0 Solving -27 + -30x + 8x2 = 0 Solving for variable 'x'. Factor a trinomial. (-3 + -4x)(9 + -2x) = 0Subproblem 1
Set the factor '(-3 + -4x)' equal to zero and attempt to solve: Simplifying -3 + -4x = 0 Solving -3 + -4x = 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 + -4x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4x = 0 + 3 -4x = 0 + 3 Combine like terms: 0 + 3 = 3 -4x = 3 Divide each side by '-4'. x = -0.75 Simplifying x = -0.75Subproblem 2
Set the factor '(9 + -2x)' equal to zero and attempt to solve: Simplifying 9 + -2x = 0 Solving 9 + -2x = 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 + -2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = 0 + -9 -2x = 0 + -9 Combine like terms: 0 + -9 = -9 -2x = -9 Divide each side by '-2'. x = 4.5 Simplifying x = 4.5Solution
x = {-0.75, 4.5}
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