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Simplifying 21z2 + -16z + -20 = 0 Reorder the terms: -20 + -16z + 21z2 = 0 Solving -20 + -16z + 21z2 = 0 Solving for variable 'z'. Factor a trinomial. (-2 + -3z)(10 + -7z) = 0Subproblem 1
Set the factor '(-2 + -3z)' equal to zero and attempt to solve: Simplifying -2 + -3z = 0 Solving -2 + -3z = 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 + -3z = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3z = 0 + 2 -3z = 0 + 2 Combine like terms: 0 + 2 = 2 -3z = 2 Divide each side by '-3'. z = -0.6666666667 Simplifying z = -0.6666666667Subproblem 2
Set the factor '(10 + -7z)' equal to zero and attempt to solve: Simplifying 10 + -7z = 0 Solving 10 + -7z = 0 Move all terms containing z to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -7z = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -7z = 0 + -10 -7z = 0 + -10 Combine like terms: 0 + -10 = -10 -7z = -10 Divide each side by '-7'. z = 1.428571429 Simplifying z = 1.428571429Solution
z = {-0.6666666667, 1.428571429}
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