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Simplifying (8x + 13)(x + 3) = 0 Reorder the terms: (13 + 8x)(x + 3) = 0 Reorder the terms: (13 + 8x)(3 + x) = 0 Multiply (13 + 8x) * (3 + x) (13(3 + x) + 8x * (3 + x)) = 0 ((3 * 13 + x * 13) + 8x * (3 + x)) = 0 ((39 + 13x) + 8x * (3 + x)) = 0 (39 + 13x + (3 * 8x + x * 8x)) = 0 (39 + 13x + (24x + 8x2)) = 0 Combine like terms: 13x + 24x = 37x (39 + 37x + 8x2) = 0 Solving 39 + 37x + 8x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + x)(13 + 8x) = 0Subproblem 1
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Subproblem 2
Set the factor '(13 + 8x)' equal to zero and attempt to solve: Simplifying 13 + 8x = 0 Solving 13 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 8x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 8x = 0 + -13 8x = 0 + -13 Combine like terms: 0 + -13 = -13 8x = -13 Divide each side by '8'. x = -1.625 Simplifying x = -1.625Solution
x = {-3, -1.625}
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