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Simplifying 100 + 20z + z2 = 0 Solving 100 + 20z + z2 = 0 Solving for variable 'z'. Factor a trinomial. (10 + z)(10 + z) = 0Subproblem 1
Set the factor '(10 + z)' equal to zero and attempt to solve: Simplifying 10 + z = 0 Solving 10 + z = 0 Move all terms containing z to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + z = 0 + -10 Combine like terms: 10 + -10 = 0 0 + z = 0 + -10 z = 0 + -10 Combine like terms: 0 + -10 = -10 z = -10 Simplifying z = -10Subproblem 2
Set the factor '(10 + z)' equal to zero and attempt to solve: Simplifying 10 + z = 0 Solving 10 + z = 0 Move all terms containing z to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + z = 0 + -10 Combine like terms: 10 + -10 = 0 0 + z = 0 + -10 z = 0 + -10 Combine like terms: 0 + -10 = -10 z = -10 Simplifying z = -10Solution
z = {-10, -10}
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