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Simplifying (8x + 3)(4x + 3) = 0 Reorder the terms: (3 + 8x)(4x + 3) = 0 Reorder the terms: (3 + 8x)(3 + 4x) = 0 Multiply (3 + 8x) * (3 + 4x) (3(3 + 4x) + 8x * (3 + 4x)) = 0 ((3 * 3 + 4x * 3) + 8x * (3 + 4x)) = 0 ((9 + 12x) + 8x * (3 + 4x)) = 0 (9 + 12x + (3 * 8x + 4x * 8x)) = 0 (9 + 12x + (24x + 32x2)) = 0 Combine like terms: 12x + 24x = 36x (9 + 36x + 32x2) = 0 Solving 9 + 36x + 32x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + 4x)(3 + 8x) = 0Subproblem 1
Set the factor '(3 + 4x)' equal to zero and attempt to solve: Simplifying 3 + 4x = 0 Solving 3 + 4x = 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 + 4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 0 + -3 4x = 0 + -3 Combine like terms: 0 + -3 = -3 4x = -3 Divide each side by '4'. x = -0.75 Simplifying x = -0.75Subproblem 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 = {-0.75, -0.375}
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