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Simplifying (7x + 8)(8x + 3) = 0 Reorder the terms: (8 + 7x)(8x + 3) = 0 Reorder the terms: (8 + 7x)(3 + 8x) = 0 Multiply (8 + 7x) * (3 + 8x) (8(3 + 8x) + 7x * (3 + 8x)) = 0 ((3 * 8 + 8x * 8) + 7x * (3 + 8x)) = 0 ((24 + 64x) + 7x * (3 + 8x)) = 0 (24 + 64x + (3 * 7x + 8x * 7x)) = 0 (24 + 64x + (21x + 56x2)) = 0 Combine like terms: 64x + 21x = 85x (24 + 85x + 56x2) = 0 Solving 24 + 85x + 56x2 = 0 Solving for variable 'x'. Factor a trinomial. (8 + 7x)(3 + 8x) = 0Subproblem 1
Set the factor '(8 + 7x)' equal to zero and attempt to solve: Simplifying 8 + 7x = 0 Solving 8 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 7x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 7x = 0 + -8 7x = 0 + -8 Combine like terms: 0 + -8 = -8 7x = -8 Divide each side by '7'. x = -1.142857143 Simplifying x = -1.142857143Subproblem 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 = {-1.142857143, -0.375}
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