4w^2=28w

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Solution for 4w^2=28w equation:


Simplifying
4w2 = 28w

Solving
4w2 = 28w

Solving for variable 'w'.

Reorder the terms:
-28w + 4w2 = 28w + -28w

Combine like terms: 28w + -28w = 0
-28w + 4w2 = 0

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

Ignore the factor 4.

Subproblem 1

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

Subproblem 2

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

Solution

w = {0, 7}

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