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Simplifying (1x + 9)(8x + 4) = 0 Reorder the terms: (9 + 1x)(8x + 4) = 0 Reorder the terms: (9 + 1x)(4 + 8x) = 0 Multiply (9 + 1x) * (4 + 8x) (9(4 + 8x) + 1x * (4 + 8x)) = 0 ((4 * 9 + 8x * 9) + 1x * (4 + 8x)) = 0 ((36 + 72x) + 1x * (4 + 8x)) = 0 (36 + 72x + (4 * 1x + 8x * 1x)) = 0 (36 + 72x + (4x + 8x2)) = 0 Combine like terms: 72x + 4x = 76x (36 + 76x + 8x2) = 0 Solving 36 + 76x + 8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(9 + 19x + 2x2) = 0 Factor a trinomial. 4((9 + x)(1 + 2x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Simplifying x = -9Subproblem 2
Set the factor '(1 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5Solution
x = {-9, -0.5}
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