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Simplifying 16z2 + -11z + -5 = 0 Reorder the terms: -5 + -11z + 16z2 = 0 Solving -5 + -11z + 16z2 = 0 Solving for variable 'z'. Factor a trinomial. (-5 + -16z)(1 + -1z) = 0Subproblem 1
Set the factor '(-5 + -16z)' equal to zero and attempt to solve: Simplifying -5 + -16z = 0 Solving -5 + -16z = 0 Move all terms containing z to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -16z = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -16z = 0 + 5 -16z = 0 + 5 Combine like terms: 0 + 5 = 5 -16z = 5 Divide each side by '-16'. z = -0.3125 Simplifying z = -0.3125Subproblem 2
Set the factor '(1 + -1z)' equal to zero and attempt to solve: Simplifying 1 + -1z = 0 Solving 1 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1z = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1z = 0 + -1 -1z = 0 + -1 Combine like terms: 0 + -1 = -1 -1z = -1 Divide each side by '-1'. z = 1 Simplifying z = 1Solution
z = {-0.3125, 1}
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