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Simplifying 4z2 + -15z + -175 = 0 Reorder the terms: -175 + -15z + 4z2 = 0 Solving -175 + -15z + 4z2 = 0 Solving for variable 'z'. Factor a trinomial. (-5 + -1z)(35 + -4z) = 0Subproblem 1
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 = -5Subproblem 2
Set the factor '(35 + -4z)' equal to zero and attempt to solve: Simplifying 35 + -4z = 0 Solving 35 + -4z = 0 Move all terms containing z to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -4z = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -4z = 0 + -35 -4z = 0 + -35 Combine like terms: 0 + -35 = -35 -4z = -35 Divide each side by '-4'. z = 8.75 Simplifying z = 8.75Solution
z = {-5, 8.75}
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