4w^2+70w+250-250=w

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Solution for 4w^2+70w+250-250=w equation:


Simplifying
4w2 + 70w + 250 + -250 = w

Reorder the terms:
250 + -250 + 70w + 4w2 = w

Combine like terms: 250 + -250 = 0
0 + 70w + 4w2 = w
70w + 4w2 = w

Solving
70w + 4w2 = w

Solving for variable 'w'.

Reorder the terms:
70w + -1w + 4w2 = w + -1w

Combine like terms: 70w + -1w = 69w
69w + 4w2 = w + -1w

Combine like terms: w + -1w = 0
69w + 4w2 = 0

Factor out the Greatest Common Factor (GCF), 'w'.
w(69 + 4w) = 0

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 '(69 + 4w)' equal to zero and attempt to solve: Simplifying 69 + 4w = 0 Solving 69 + 4w = 0 Move all terms containing w to the left, all other terms to the right. Add '-69' to each side of the equation. 69 + -69 + 4w = 0 + -69 Combine like terms: 69 + -69 = 0 0 + 4w = 0 + -69 4w = 0 + -69 Combine like terms: 0 + -69 = -69 4w = -69 Divide each side by '4'. w = -17.25 Simplifying w = -17.25

Solution

w = {0, -17.25}

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