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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