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Simplifying 5z2 + -23z + -10 = 0 Reorder the terms: -10 + -23z + 5z2 = 0 Solving -10 + -23z + 5z2 = 0 Solving for variable 'z'. Factor a trinomial. (-2 + -5z)(5 + -1z) = 0Subproblem 1
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 = -0.4Subproblem 2
Set the factor '(5 + -1z)' equal to zero and attempt to solve: Simplifying 5 + -1z = 0 Solving 5 + -1z = 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 + -1z = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1z = 0 + -5 -1z = 0 + -5 Combine like terms: 0 + -5 = -5 -1z = -5 Divide each side by '-1'. z = 5 Simplifying z = 5Solution
z = {-0.4, 5}
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