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Simplifying (z + -8)(z + -2) = 0 Reorder the terms: (-8 + z)(z + -2) = 0 Reorder the terms: (-8 + z)(-2 + z) = 0 Multiply (-8 + z) * (-2 + z) (-8(-2 + z) + z(-2 + z)) = 0 ((-2 * -8 + z * -8) + z(-2 + z)) = 0 ((16 + -8z) + z(-2 + z)) = 0 (16 + -8z + (-2 * z + z * z)) = 0 (16 + -8z + (-2z + z2)) = 0 Combine like terms: -8z + -2z = -10z (16 + -10z + z2) = 0 Solving 16 + -10z + z2 = 0 Solving for variable 'z'. Factor a trinomial. (2 + -1z)(8 + -1z) = 0Subproblem 1
Set the factor '(2 + -1z)' equal to zero and attempt to solve: Simplifying 2 + -1z = 0 Solving 2 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1z = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1z = 0 + -2 -1z = 0 + -2 Combine like terms: 0 + -2 = -2 -1z = -2 Divide each side by '-1'. z = 2 Simplifying z = 2Subproblem 2
Set the factor '(8 + -1z)' equal to zero and attempt to solve: Simplifying 8 + -1z = 0 Solving 8 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1z = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1z = 0 + -8 -1z = 0 + -8 Combine like terms: 0 + -8 = -8 -1z = -8 Divide each side by '-1'. z = 8 Simplifying z = 8Solution
z = {2, 8}
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