(8-z)(5z-6)=0

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Solution for (8-z)(5z-6)=0 equation:


Simplifying
(8 + -1z)(5z + -6) = 0

Reorder the terms:
(8 + -1z)(-6 + 5z) = 0

Multiply (8 + -1z) * (-6 + 5z)
(8(-6 + 5z) + -1z * (-6 + 5z)) = 0
((-6 * 8 + 5z * 8) + -1z * (-6 + 5z)) = 0
((-48 + 40z) + -1z * (-6 + 5z)) = 0
(-48 + 40z + (-6 * -1z + 5z * -1z)) = 0
(-48 + 40z + (6z + -5z2)) = 0

Combine like terms: 40z + 6z = 46z
(-48 + 46z + -5z2) = 0

Solving
-48 + 46z + -5z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(-8 + z)(6 + -5z) = 0

Subproblem 1

Set the factor '(-8 + z)' equal to zero and attempt to solve: Simplifying -8 + z = 0 Solving -8 + z = 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 + z = 0 + 8 Combine like terms: -8 + 8 = 0 0 + z = 0 + 8 z = 0 + 8 Combine like terms: 0 + 8 = 8 z = 8 Simplifying z = 8

Subproblem 2

Set the factor '(6 + -5z)' equal to zero and attempt to solve: Simplifying 6 + -5z = 0 Solving 6 + -5z = 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 + -5z = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5z = 0 + -6 -5z = 0 + -6 Combine like terms: 0 + -6 = -6 -5z = -6 Divide each side by '-5'. z = 1.2 Simplifying z = 1.2

Solution

z = {8, 1.2}

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