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Simplifying (8x + -3)(2x + -9) = 0 Reorder the terms: (-3 + 8x)(2x + -9) = 0 Reorder the terms: (-3 + 8x)(-9 + 2x) = 0 Multiply (-3 + 8x) * (-9 + 2x) (-3(-9 + 2x) + 8x * (-9 + 2x)) = 0 ((-9 * -3 + 2x * -3) + 8x * (-9 + 2x)) = 0 ((27 + -6x) + 8x * (-9 + 2x)) = 0 (27 + -6x + (-9 * 8x + 2x * 8x)) = 0 (27 + -6x + (-72x + 16x2)) = 0 Combine like terms: -6x + -72x = -78x (27 + -78x + 16x2) = 0 Solving 27 + -78x + 16x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -8x)(9 + -2x) = 0Subproblem 1
Set the factor '(3 + -8x)' equal to zero and attempt to solve: Simplifying 3 + -8x = 0 Solving 3 + -8x = 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 + -8x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -8x = 0 + -3 -8x = 0 + -3 Combine like terms: 0 + -3 = -3 -8x = -3 Divide each side by '-8'. x = 0.375 Simplifying x = 0.375Subproblem 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 = {0.375, 4.5}
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