20u^2+75u=0

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Solution for 20u^2+75u=0 equation:


Simplifying
20u2 + 75u = 0

Reorder the terms:
75u + 20u2 = 0

Solving
75u + 20u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '5u'.
5u(15 + 4u) = 0

Ignore the factor 5.

Subproblem 1

Set the factor 'u' equal to zero and attempt to solve: Simplifying u = 0 Solving u = 0 Move all terms containing u to the left, all other terms to the right. Simplifying u = 0

Subproblem 2

Set the factor '(15 + 4u)' equal to zero and attempt to solve: Simplifying 15 + 4u = 0 Solving 15 + 4u = 0 Move all terms containing u to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 4u = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 4u = 0 + -15 4u = 0 + -15 Combine like terms: 0 + -15 = -15 4u = -15 Divide each side by '4'. u = -3.75 Simplifying u = -3.75

Solution

u = {0, -3.75}

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