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Simplifying 3z2 + 28z + -20 = 0 Reorder the terms: -20 + 28z + 3z2 = 0 Solving -20 + 28z + 3z2 = 0 Solving for variable 'z'. Factor a trinomial. (-10 + -1z)(2 + -3z) = 0Subproblem 1
Set the factor '(-10 + -1z)' equal to zero and attempt to solve: Simplifying -10 + -1z = 0 Solving -10 + -1z = 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 + -1z = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1z = 0 + 10 -1z = 0 + 10 Combine like terms: 0 + 10 = 10 -1z = 10 Divide each side by '-1'. z = -10 Simplifying z = -10Subproblem 2
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 = 0.6666666667Solution
z = {-10, 0.6666666667}
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