w^2-5=15w-5

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Solution for w^2-5=15w-5 equation:


Simplifying
w2 + -5 = 15w + -5

Reorder the terms:
-5 + w2 = 15w + -5

Reorder the terms:
-5 + w2 = -5 + 15w

Add '5' to each side of the equation.
-5 + 5 + w2 = -5 + 5 + 15w

Combine like terms: -5 + 5 = 0
0 + w2 = -5 + 5 + 15w
w2 = -5 + 5 + 15w

Combine like terms: -5 + 5 = 0
w2 = 0 + 15w
w2 = 15w

Solving
w2 = 15w

Solving for variable 'w'.

Reorder the terms:
-15w + w2 = 15w + -15w

Combine like terms: 15w + -15w = 0
-15w + w2 = 0

Factor out the Greatest Common Factor (GCF), 'w'.
w(-15 + w) = 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 '(-15 + w)' equal to zero and attempt to solve: Simplifying -15 + w = 0 Solving -15 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + w = 0 + 15 Combine like terms: -15 + 15 = 0 0 + w = 0 + 15 w = 0 + 15 Combine like terms: 0 + 15 = 15 w = 15 Simplifying w = 15

Solution

w = {0, 15}

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