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Simplifying (8x + -3)(10x + 9) = 0 Reorder the terms: (-3 + 8x)(10x + 9) = 0 Reorder the terms: (-3 + 8x)(9 + 10x) = 0 Multiply (-3 + 8x) * (9 + 10x) (-3(9 + 10x) + 8x * (9 + 10x)) = 0 ((9 * -3 + 10x * -3) + 8x * (9 + 10x)) = 0 ((-27 + -30x) + 8x * (9 + 10x)) = 0 (-27 + -30x + (9 * 8x + 10x * 8x)) = 0 (-27 + -30x + (72x + 80x2)) = 0 Combine like terms: -30x + 72x = 42x (-27 + 42x + 80x2) = 0 Solving -27 + 42x + 80x2 = 0 Solving for variable 'x'. Factor a trinomial. (-9 + -10x)(3 + -8x) = 0Subproblem 1
Set the factor '(-9 + -10x)' equal to zero and attempt to solve: Simplifying -9 + -10x = 0 Solving -9 + -10x = 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 + -10x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -10x = 0 + 9 -10x = 0 + 9 Combine like terms: 0 + 9 = 9 -10x = 9 Divide each side by '-10'. x = -0.9 Simplifying x = -0.9Subproblem 2
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 = 0.375Solution
x = {-0.9, 0.375}
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