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Simplifying z = 15z2 + -6 Reorder the terms: z = -6 + 15z2 Solving z = -6 + 15z2 Solving for variable 'z'. Reorder the terms: 6 + z + -15z2 = -6 + 15z2 + 6 + -15z2 Reorder the terms: 6 + z + -15z2 = -6 + 6 + 15z2 + -15z2 Combine like terms: -6 + 6 = 0 6 + z + -15z2 = 0 + 15z2 + -15z2 6 + z + -15z2 = 15z2 + -15z2 Combine like terms: 15z2 + -15z2 = 0 6 + z + -15z2 = 0 Factor a trinomial. (2 + -3z)(3 + 5z) = 0Subproblem 1
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 = 0.6666666667Subproblem 2
Set the factor '(3 + 5z)' equal to zero and attempt to solve: Simplifying 3 + 5z = 0 Solving 3 + 5z = 0 Move all terms containing z to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5z = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5z = 0 + -3 5z = 0 + -3 Combine like terms: 0 + -3 = -3 5z = -3 Divide each side by '5'. z = -0.6 Simplifying z = -0.6Solution
z = {0.6666666667, -0.6}
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