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Simplifying -10z2 + 19z + -6 = 0 Reorder the terms: -6 + 19z + -10z2 = 0 Solving -6 + 19z + -10z2 = 0 Solving for variable 'z'. Factor a trinomial. (-3 + 2z)(2 + -5z) = 0Subproblem 1
Set the factor '(-3 + 2z)' equal to zero and attempt to solve: Simplifying -3 + 2z = 0 Solving -3 + 2z = 0 Move all terms containing z to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 2z = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2z = 0 + 3 2z = 0 + 3 Combine like terms: 0 + 3 = 3 2z = 3 Divide each side by '2'. z = 1.5 Simplifying z = 1.5Subproblem 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 = {1.5, 0.4}
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