4u^2=28u

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Solution for 4u^2=28u equation:


Simplifying
4u2 = 28u

Solving
4u2 = 28u

Solving for variable 'u'.

Reorder the terms:
-28u + 4u2 = 28u + -28u

Combine like terms: 28u + -28u = 0
-28u + 4u2 = 0

Factor out the Greatest Common Factor (GCF), '4u'.
4u(-7 + u) = 0

Ignore the factor 4.

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

Solution

u = {0, 7}

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