-8n^2+34n-35=0

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Solution for -8n^2+34n-35=0 equation:


Simplifying
-8n2 + 34n + -35 = 0

Reorder the terms:
-35 + 34n + -8n2 = 0

Solving
-35 + 34n + -8n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-5 + 2n)(7 + -4n) = 0

Subproblem 1

Set the factor '(-5 + 2n)' equal to zero and attempt to solve: Simplifying -5 + 2n = 0 Solving -5 + 2n = 0 Move all terms containing n to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 2n = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2n = 0 + 5 2n = 0 + 5 Combine like terms: 0 + 5 = 5 2n = 5 Divide each side by '2'. n = 2.5 Simplifying n = 2.5

Subproblem 2

Set the factor '(7 + -4n)' equal to zero and attempt to solve: Simplifying 7 + -4n = 0 Solving 7 + -4n = 0 Move all terms containing n to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -4n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4n = 0 + -7 -4n = 0 + -7 Combine like terms: 0 + -7 = -7 -4n = -7 Divide each side by '-4'. n = 1.75 Simplifying n = 1.75

Solution

n = {2.5, 1.75}

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