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Simplifying (8x + -3)(4 + -5x) = 0 Reorder the terms: (-3 + 8x)(4 + -5x) = 0 Multiply (-3 + 8x) * (4 + -5x) (-3(4 + -5x) + 8x * (4 + -5x)) = 0 ((4 * -3 + -5x * -3) + 8x * (4 + -5x)) = 0 ((-12 + 15x) + 8x * (4 + -5x)) = 0 (-12 + 15x + (4 * 8x + -5x * 8x)) = 0 (-12 + 15x + (32x + -40x2)) = 0 Combine like terms: 15x + 32x = 47x (-12 + 47x + -40x2) = 0 Solving -12 + 47x + -40x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + 5x)(3 + -8x) = 0Subproblem 1
Set the factor '(-4 + 5x)' equal to zero and attempt to solve: Simplifying -4 + 5x = 0 Solving -4 + 5x = 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 + 5x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 5x = 0 + 4 5x = 0 + 4 Combine like terms: 0 + 4 = 4 5x = 4 Divide each side by '5'. x = 0.8 Simplifying x = 0.8Subproblem 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 = {0.8, 0.375}
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