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Simplifying z(3z + -11) = 20 Reorder the terms: z(-11 + 3z) = 20 (-11 * z + 3z * z) = 20 (-11z + 3z2) = 20 Solving -11z + 3z2 = 20 Solving for variable 'z'. Reorder the terms: -20 + -11z + 3z2 = 20 + -20 Combine like terms: 20 + -20 = 0 -20 + -11z + 3z2 = 0 Factor a trinomial. (-4 + -3z)(5 + -1z) = 0Subproblem 1
Set the factor '(-4 + -3z)' equal to zero and attempt to solve: Simplifying -4 + -3z = 0 Solving -4 + -3z = 0 Move all terms containing z to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -3z = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3z = 0 + 4 -3z = 0 + 4 Combine like terms: 0 + 4 = 4 -3z = 4 Divide each side by '-3'. z = -1.333333333 Simplifying z = -1.333333333Subproblem 2
Set the factor '(5 + -1z)' equal to zero and attempt to solve: Simplifying 5 + -1z = 0 Solving 5 + -1z = 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 + -1z = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1z = 0 + -5 -1z = 0 + -5 Combine like terms: 0 + -5 = -5 -1z = -5 Divide each side by '-1'. z = 5 Simplifying z = 5Solution
z = {-1.333333333, 5}
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