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Simplifying 9x7(x + 3)(x + 4) = 0 Reorder the terms: 9x7(3 + x)(x + 4) = 0 Reorder the terms: 9x7(3 + x)(4 + x) = 0 Multiply (3 + x) * (4 + x) 9x7(3(4 + x) + x(4 + x)) = 0 9x7((4 * 3 + x * 3) + x(4 + x)) = 0 9x7((12 + 3x) + x(4 + x)) = 0 9x7(12 + 3x + (4 * x + x * x)) = 0 9x7(12 + 3x + (4x + x2)) = 0 Combine like terms: 3x + 4x = 7x 9x7(12 + 7x + x2) = 0 (12 * 9x7 + 7x * 9x7 + x2 * 9x7) = 0 (108x7 + 63x8 + 9x9) = 0 Solving 108x7 + 63x8 + 9x9 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '9x7'. 9x7(12 + 7x + x2) = 0 Factor a trinomial. 9x7((4 + x)(3 + x)) = 0 Ignore the factor 9.Subproblem 1
Set the factor 'x7' equal to zero and attempt to solve: Simplifying x7 = 0 Solving x7 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x7 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Subproblem 3
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 = -3Solution
x = {-4, -3}
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