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Simplifying 21z2 = 10 + -1z Solving 21z2 = 10 + -1z Solving for variable 'z'. Reorder the terms: -10 + z + 21z2 = 10 + -1z + -10 + z Reorder the terms: -10 + z + 21z2 = 10 + -10 + -1z + z Combine like terms: 10 + -10 = 0 -10 + z + 21z2 = 0 + -1z + z -10 + z + 21z2 = -1z + z Combine like terms: -1z + z = 0 -10 + z + 21z2 = 0 Factor a trinomial. (-5 + -7z)(2 + -3z) = 0Subproblem 1
Set the factor '(-5 + -7z)' equal to zero and attempt to solve: Simplifying -5 + -7z = 0 Solving -5 + -7z = 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 + -7z = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -7z = 0 + 5 -7z = 0 + 5 Combine like terms: 0 + 5 = 5 -7z = 5 Divide each side by '-7'. z = -0.7142857143 Simplifying z = -0.7142857143Subproblem 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 = {-0.7142857143, 0.6666666667}
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