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Simplifying 15z2 + -26z + 4 = -4 Reorder the terms: 4 + -26z + 15z2 = -4 Solving 4 + -26z + 15z2 = -4 Solving for variable 'z'. Reorder the terms: 4 + 4 + -26z + 15z2 = -4 + 4 Combine like terms: 4 + 4 = 8 8 + -26z + 15z2 = -4 + 4 Combine like terms: -4 + 4 = 0 8 + -26z + 15z2 = 0 Factor a trinomial. (2 + -5z)(4 + -3z) = 0Subproblem 1
Set the factor '(2 + -5z)' equal to zero and attempt to solve: Simplifying 2 + -5z = 0 Solving 2 + -5z = 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 + -5z = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5z = 0 + -2 -5z = 0 + -2 Combine like terms: 0 + -2 = -2 -5z = -2 Divide each side by '-5'. z = 0.4 Simplifying z = 0.4Subproblem 2
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 = 1.333333333Solution
z = {0.4, 1.333333333}
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