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Simplifying (7z + 9)(z + 7) = 0 Reorder the terms: (9 + 7z)(z + 7) = 0 Reorder the terms: (9 + 7z)(7 + z) = 0 Multiply (9 + 7z) * (7 + z) (9(7 + z) + 7z * (7 + z)) = 0 ((7 * 9 + z * 9) + 7z * (7 + z)) = 0 ((63 + 9z) + 7z * (7 + z)) = 0 (63 + 9z + (7 * 7z + z * 7z)) = 0 (63 + 9z + (49z + 7z2)) = 0 Combine like terms: 9z + 49z = 58z (63 + 58z + 7z2) = 0 Solving 63 + 58z + 7z2 = 0 Solving for variable 'z'. Factor a trinomial. (7 + z)(9 + 7z) = 0Subproblem 1
Set the factor '(7 + z)' equal to zero and attempt to solve: Simplifying 7 + z = 0 Solving 7 + z = 0 Move all terms containing z to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + z = 0 + -7 Combine like terms: 7 + -7 = 0 0 + z = 0 + -7 z = 0 + -7 Combine like terms: 0 + -7 = -7 z = -7 Simplifying z = -7Subproblem 2
Set the factor '(9 + 7z)' equal to zero and attempt to solve: Simplifying 9 + 7z = 0 Solving 9 + 7z = 0 Move all terms containing z to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 7z = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 7z = 0 + -9 7z = 0 + -9 Combine like terms: 0 + -9 = -9 7z = -9 Divide each side by '7'. z = -1.285714286 Simplifying z = -1.285714286Solution
z = {-7, -1.285714286}
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