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Simplifying 4z2 + -1z = 39 Reorder the terms: -1z + 4z2 = 39 Solving -1z + 4z2 = 39 Solving for variable 'z'. Reorder the terms: -39 + -1z + 4z2 = 39 + -39 Combine like terms: 39 + -39 = 0 -39 + -1z + 4z2 = 0 Factor a trinomial. (-3 + -1z)(13 + -4z) = 0Subproblem 1
Set the factor '(-3 + -1z)' equal to zero and attempt to solve: Simplifying -3 + -1z = 0 Solving -3 + -1z = 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 + -1z = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1z = 0 + 3 -1z = 0 + 3 Combine like terms: 0 + 3 = 3 -1z = 3 Divide each side by '-1'. z = -3 Simplifying z = -3Subproblem 2
Set the factor '(13 + -4z)' equal to zero and attempt to solve: Simplifying 13 + -4z = 0 Solving 13 + -4z = 0 Move all terms containing z to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -4z = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -4z = 0 + -13 -4z = 0 + -13 Combine like terms: 0 + -13 = -13 -4z = -13 Divide each side by '-4'. z = 3.25 Simplifying z = 3.25Solution
z = {-3, 3.25}
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