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Simplifying 15z2 + 28z + 5 = 0 Reorder the terms: 5 + 28z + 15z2 = 0 Solving 5 + 28z + 15z2 = 0 Solving for variable 'z'. Factor a trinomial. (5 + 3z)(1 + 5z) = 0Subproblem 1
Set the factor '(5 + 3z)' equal to zero and attempt to solve: Simplifying 5 + 3z = 0 Solving 5 + 3z = 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 + 3z = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3z = 0 + -5 3z = 0 + -5 Combine like terms: 0 + -5 = -5 3z = -5 Divide each side by '3'. z = -1.666666667 Simplifying z = -1.666666667Subproblem 2
Set the factor '(1 + 5z)' equal to zero and attempt to solve: Simplifying 1 + 5z = 0 Solving 1 + 5z = 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 + 5z = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5z = 0 + -1 5z = 0 + -1 Combine like terms: 0 + -1 = -1 5z = -1 Divide each side by '5'. z = -0.2 Simplifying z = -0.2Solution
z = {-1.666666667, -0.2}
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