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Simplifying (z + 8)(z + -11) = 0 Reorder the terms: (8 + z)(z + -11) = 0 Reorder the terms: (8 + z)(-11 + z) = 0 Multiply (8 + z) * (-11 + z) (8(-11 + z) + z(-11 + z)) = 0 ((-11 * 8 + z * 8) + z(-11 + z)) = 0 ((-88 + 8z) + z(-11 + z)) = 0 (-88 + 8z + (-11 * z + z * z)) = 0 (-88 + 8z + (-11z + z2)) = 0 Combine like terms: 8z + -11z = -3z (-88 + -3z + z2) = 0 Solving -88 + -3z + z2 = 0 Solving for variable 'z'. Factor a trinomial. (-8 + -1z)(11 + -1z) = 0Subproblem 1
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 = -8Subproblem 2
Set the factor '(11 + -1z)' equal to zero and attempt to solve: Simplifying 11 + -1z = 0 Solving 11 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1z = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1z = 0 + -11 -1z = 0 + -11 Combine like terms: 0 + -11 = -11 -1z = -11 Divide each side by '-1'. z = 11 Simplifying z = 11Solution
z = {-8, 11}
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