5w^2+20w=-25

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Solution for 5w^2+20w=-25 equation:


Simplifying
5w2 + 20w = -25

Reorder the terms:
20w + 5w2 = -25

Solving
20w + 5w2 = -25

Solving for variable 'w'.

Reorder the terms:
25 + 20w + 5w2 = -25 + 25

Combine like terms: -25 + 25 = 0
25 + 20w + 5w2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(5 + 4w + w2) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(5 + 4w + w2)' equal to zero and attempt to solve: Simplifying 5 + 4w + w2 = 0 Solving 5 + 4w + w2 = 0 Begin completing the square. Move the constant term to the right: Add '-5' to each side of the equation. 5 + 4w + -5 + w2 = 0 + -5 Reorder the terms: 5 + -5 + 4w + w2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4w + w2 = 0 + -5 4w + w2 = 0 + -5 Combine like terms: 0 + -5 = -5 4w + w2 = -5 The w term is 4w. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4w + 4 + w2 = -5 + 4 Reorder the terms: 4 + 4w + w2 = -5 + 4 Combine like terms: -5 + 4 = -1 4 + 4w + w2 = -1 Factor a perfect square on the left side: (w + 2)(w + 2) = -1 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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