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Simplifying (4x + 7)(3 + -8x) = 0 Reorder the terms: (7 + 4x)(3 + -8x) = 0 Multiply (7 + 4x) * (3 + -8x) (7(3 + -8x) + 4x * (3 + -8x)) = 0 ((3 * 7 + -8x * 7) + 4x * (3 + -8x)) = 0 ((21 + -56x) + 4x * (3 + -8x)) = 0 (21 + -56x + (3 * 4x + -8x * 4x)) = 0 (21 + -56x + (12x + -32x2)) = 0 Combine like terms: -56x + 12x = -44x (21 + -44x + -32x2) = 0 Solving 21 + -44x + -32x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -8x)(7 + 4x) = 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 '(7 + 4x)' equal to zero and attempt to solve: Simplifying 7 + 4x = 0 Solving 7 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 4x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4x = 0 + -7 4x = 0 + -7 Combine like terms: 0 + -7 = -7 4x = -7 Divide each side by '4'. x = -1.75 Simplifying x = -1.75Solution
x = {0.375, -1.75}
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