5(w-5)(w-5)=-90

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Solution for 5(w-5)(w-5)=-90 equation:


Simplifying
5(w + -5)(w + -5) = -90

Reorder the terms:
5(-5 + w)(w + -5) = -90

Reorder the terms:
5(-5 + w)(-5 + w) = -90

Multiply (-5 + w) * (-5 + w)
5(-5(-5 + w) + w(-5 + w)) = -90
5((-5 * -5 + w * -5) + w(-5 + w)) = -90
5((25 + -5w) + w(-5 + w)) = -90
5(25 + -5w + (-5 * w + w * w)) = -90
5(25 + -5w + (-5w + w2)) = -90

Combine like terms: -5w + -5w = -10w
5(25 + -10w + w2) = -90
(25 * 5 + -10w * 5 + w2 * 5) = -90
(125 + -50w + 5w2) = -90

Solving
125 + -50w + 5w2 = -90

Solving for variable 'w'.

Reorder the terms:
125 + 90 + -50w + 5w2 = -90 + 90

Combine like terms: 125 + 90 = 215
215 + -50w + 5w2 = -90 + 90

Combine like terms: -90 + 90 = 0
215 + -50w + 5w2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(43 + -10w + w2) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(43 + -10w + w2)' equal to zero and attempt to solve: Simplifying 43 + -10w + w2 = 0 Solving 43 + -10w + w2 = 0 Begin completing the square. Move the constant term to the right: Add '-43' to each side of the equation. 43 + -10w + -43 + w2 = 0 + -43 Reorder the terms: 43 + -43 + -10w + w2 = 0 + -43 Combine like terms: 43 + -43 = 0 0 + -10w + w2 = 0 + -43 -10w + w2 = 0 + -43 Combine like terms: 0 + -43 = -43 -10w + w2 = -43 The w term is -10w. Take half its coefficient (-5). Square it (25) and add it to both sides. Add '25' to each side of the equation. -10w + 25 + w2 = -43 + 25 Reorder the terms: 25 + -10w + w2 = -43 + 25 Combine like terms: -43 + 25 = -18 25 + -10w + w2 = -18 Factor a perfect square on the left side: (w + -5)(w + -5) = -18 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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