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Simplifying 3z2 = 22z + -7 Reorder the terms: 3z2 = -7 + 22z Solving 3z2 = -7 + 22z Solving for variable 'z'. Reorder the terms: 7 + -22z + 3z2 = -7 + 22z + 7 + -22z Reorder the terms: 7 + -22z + 3z2 = -7 + 7 + 22z + -22z Combine like terms: -7 + 7 = 0 7 + -22z + 3z2 = 0 + 22z + -22z 7 + -22z + 3z2 = 22z + -22z Combine like terms: 22z + -22z = 0 7 + -22z + 3z2 = 0 Factor a trinomial. (1 + -3z)(7 + -1z) = 0Subproblem 1
Set the factor '(1 + -3z)' equal to zero and attempt to solve: Simplifying 1 + -3z = 0 Solving 1 + -3z = 0 Move all terms containing z to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3z = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3z = 0 + -1 -3z = 0 + -1 Combine like terms: 0 + -1 = -1 -3z = -1 Divide each side by '-3'. z = 0.3333333333 Simplifying z = 0.3333333333Subproblem 2
Set the factor '(7 + -1z)' equal to zero and attempt to solve: Simplifying 7 + -1z = 0 Solving 7 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1z = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1z = 0 + -7 -1z = 0 + -7 Combine like terms: 0 + -7 = -7 -1z = -7 Divide each side by '-1'. z = 7 Simplifying z = 7Solution
z = {0.3333333333, 7}
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