20u^2+11u-4=0

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Solution for 20u^2+11u-4=0 equation:


Simplifying
20u2 + 11u + -4 = 0

Reorder the terms:
-4 + 11u + 20u2 = 0

Solving
-4 + 11u + 20u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-4 + -5u)(1 + -4u) = 0

Subproblem 1

Set the factor '(-4 + -5u)' equal to zero and attempt to solve: Simplifying -4 + -5u = 0 Solving -4 + -5u = 0 Move all terms containing u to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -5u = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5u = 0 + 4 -5u = 0 + 4 Combine like terms: 0 + 4 = 4 -5u = 4 Divide each side by '-5'. u = -0.8 Simplifying u = -0.8

Subproblem 2

Set the factor '(1 + -4u)' equal to zero and attempt to solve: Simplifying 1 + -4u = 0 Solving 1 + -4u = 0 Move all terms containing u to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -4u = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4u = 0 + -1 -4u = 0 + -1 Combine like terms: 0 + -1 = -1 -4u = -1 Divide each side by '-4'. u = 0.25 Simplifying u = 0.25

Solution

u = {-0.8, 0.25}

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