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Simplifying z2 + 14z + 98 = 49 Reorder the terms: 98 + 14z + z2 = 49 Solving 98 + 14z + z2 = 49 Solving for variable 'z'. Reorder the terms: 98 + -49 + 14z + z2 = 49 + -49 Combine like terms: 98 + -49 = 49 49 + 14z + z2 = 49 + -49 Combine like terms: 49 + -49 = 0 49 + 14z + z2 = 0 Factor a trinomial. (7 + z)(7 + z) = 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 '(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 = {-7, -7}
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