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Simplifying z2 + 7z + 21 = 21 Reorder the terms: 21 + 7z + z2 = 21 Add '-21' to each side of the equation. 21 + 7z + -21 + z2 = 21 + -21 Reorder the terms: 21 + -21 + 7z + z2 = 21 + -21 Combine like terms: 21 + -21 = 0 0 + 7z + z2 = 21 + -21 7z + z2 = 21 + -21 Combine like terms: 21 + -21 = 0 7z + z2 = 0 Solving 7z + z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), 'z'. z(7 + z) = 0Subproblem 1
Set the factor 'z' equal to zero and attempt to solve: Simplifying z = 0 Solving z = 0 Move all terms containing z to the left, all other terms to the right. Simplifying z = 0Subproblem 2
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 = -7Solution
z = {0, -7}
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