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Simplifying (8 + -1z)(5z + -2) = 0 Reorder the terms: (8 + -1z)(-2 + 5z) = 0 Multiply (8 + -1z) * (-2 + 5z) (8(-2 + 5z) + -1z * (-2 + 5z)) = 0 ((-2 * 8 + 5z * 8) + -1z * (-2 + 5z)) = 0 ((-16 + 40z) + -1z * (-2 + 5z)) = 0 (-16 + 40z + (-2 * -1z + 5z * -1z)) = 0 (-16 + 40z + (2z + -5z2)) = 0 Combine like terms: 40z + 2z = 42z (-16 + 42z + -5z2) = 0 Solving -16 + 42z + -5z2 = 0 Solving for variable 'z'. Factor a trinomial. (-8 + z)(2 + -5z) = 0Subproblem 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 = 8Subproblem 2
Set the factor '(2 + -5z)' equal to zero and attempt to solve: Simplifying 2 + -5z = 0 Solving 2 + -5z = 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 + -5z = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5z = 0 + -2 -5z = 0 + -2 Combine like terms: 0 + -2 = -2 -5z = -2 Divide each side by '-5'. z = 0.4 Simplifying z = 0.4Solution
z = {8, 0.4}
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