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Simplifying 15z2 + -68z = 35 Reorder the terms: -68z + 15z2 = 35 Solving -68z + 15z2 = 35 Solving for variable 'z'. Reorder the terms: -35 + -68z + 15z2 = 35 + -35 Combine like terms: 35 + -35 = 0 -35 + -68z + 15z2 = 0 Factor a trinomial. (-7 + -15z)(5 + -1z) = 0Subproblem 1
Set the factor '(-7 + -15z)' equal to zero and attempt to solve: Simplifying -7 + -15z = 0 Solving -7 + -15z = 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 + -15z = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -15z = 0 + 7 -15z = 0 + 7 Combine like terms: 0 + 7 = 7 -15z = 7 Divide each side by '-15'. z = -0.4666666667 Simplifying z = -0.4666666667Subproblem 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 = {-0.4666666667, 5}
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