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Simplifying (9x + 9)(7x + 21) = 0 Reorder the terms: (9 + 9x)(7x + 21) = 0 Reorder the terms: (9 + 9x)(21 + 7x) = 0 Multiply (9 + 9x) * (21 + 7x) (9(21 + 7x) + 9x * (21 + 7x)) = 0 ((21 * 9 + 7x * 9) + 9x * (21 + 7x)) = 0 ((189 + 63x) + 9x * (21 + 7x)) = 0 (189 + 63x + (21 * 9x + 7x * 9x)) = 0 (189 + 63x + (189x + 63x2)) = 0 Combine like terms: 63x + 189x = 252x (189 + 252x + 63x2) = 0 Solving 189 + 252x + 63x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '63'. 63(3 + 4x + x2) = 0 Factor a trinomial. 63((3 + x)(1 + x)) = 0 Ignore the factor 63.Subproblem 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 '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {-3, -1}
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