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Simplifying -1z(z + -6) = 8 Reorder the terms: -1z(-6 + z) = 8 (-6 * -1z + z * -1z) = 8 (6z + -1z2) = 8 Solving 6z + -1z2 = 8 Solving for variable 'z'. Reorder the terms: -8 + 6z + -1z2 = 8 + -8 Combine like terms: 8 + -8 = 0 -8 + 6z + -1z2 = 0 Factor a trinomial. (-4 + z)(2 + -1z) = 0Subproblem 1
Set the factor '(-4 + z)' equal to zero and attempt to solve: Simplifying -4 + z = 0 Solving -4 + z = 0 Move all terms containing z to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + z = 0 + 4 Combine like terms: -4 + 4 = 0 0 + z = 0 + 4 z = 0 + 4 Combine like terms: 0 + 4 = 4 z = 4 Simplifying z = 4Subproblem 2
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 = 2Solution
z = {4, 2}
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