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Simplifying (5z + -8)(6 + -1z) = 0 Reorder the terms: (-8 + 5z)(6 + -1z) = 0 Multiply (-8 + 5z) * (6 + -1z) (-8(6 + -1z) + 5z * (6 + -1z)) = 0 ((6 * -8 + -1z * -8) + 5z * (6 + -1z)) = 0 ((-48 + 8z) + 5z * (6 + -1z)) = 0 (-48 + 8z + (6 * 5z + -1z * 5z)) = 0 (-48 + 8z + (30z + -5z2)) = 0 Combine like terms: 8z + 30z = 38z (-48 + 38z + -5z2) = 0 Solving -48 + 38z + -5z2 = 0 Solving for variable 'z'. Factor a trinomial. (-6 + z)(8 + -5z) = 0Subproblem 1
Set the factor '(-6 + z)' equal to zero and attempt to solve: Simplifying -6 + z = 0 Solving -6 + z = 0 Move all terms containing z to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + z = 0 + 6 Combine like terms: -6 + 6 = 0 0 + z = 0 + 6 z = 0 + 6 Combine like terms: 0 + 6 = 6 z = 6 Simplifying z = 6Subproblem 2
Set the factor '(8 + -5z)' equal to zero and attempt to solve: Simplifying 8 + -5z = 0 Solving 8 + -5z = 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 + -5z = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5z = 0 + -8 -5z = 0 + -8 Combine like terms: 0 + -8 = -8 -5z = -8 Divide each side by '-5'. z = 1.6 Simplifying z = 1.6Solution
z = {6, 1.6}
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