5u^2+17u-40=0

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Solution for 5u^2+17u-40=0 equation:


Simplifying
5u2 + 17u + -40 = 0

Reorder the terms:
-40 + 17u + 5u2 = 0

Solving
-40 + 17u + 5u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-5 + -1u)(8 + -5u) = 0

Subproblem 1

Set the factor '(-5 + -1u)' equal to zero and attempt to solve: Simplifying -5 + -1u = 0 Solving -5 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1u = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1u = 0 + 5 -1u = 0 + 5 Combine like terms: 0 + 5 = 5 -1u = 5 Divide each side by '-1'. u = -5 Simplifying u = -5

Subproblem 2

Set the factor '(8 + -5u)' equal to zero and attempt to solve: Simplifying 8 + -5u = 0 Solving 8 + -5u = 0 Move all terms containing u to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -5u = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5u = 0 + -8 -5u = 0 + -8 Combine like terms: 0 + -8 = -8 -5u = -8 Divide each side by '-5'. u = 1.6 Simplifying u = 1.6

Solution

u = {-5, 1.6}

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