w^2-100w+2400=0

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Solution for w^2-100w+2400=0 equation:


Simplifying
w2 + -100w + 2400 = 0

Reorder the terms:
2400 + -100w + w2 = 0

Solving
2400 + -100w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(40 + -1w)(60 + -1w) = 0

Subproblem 1

Set the factor '(40 + -1w)' equal to zero and attempt to solve: Simplifying 40 + -1w = 0 Solving 40 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -1w = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -1w = 0 + -40 -1w = 0 + -40 Combine like terms: 0 + -40 = -40 -1w = -40 Divide each side by '-1'. w = 40 Simplifying w = 40

Subproblem 2

Set the factor '(60 + -1w)' equal to zero and attempt to solve: Simplifying 60 + -1w = 0 Solving 60 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + -1w = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -1w = 0 + -60 -1w = 0 + -60 Combine like terms: 0 + -60 = -60 -1w = -60 Divide each side by '-1'. w = 60 Simplifying w = 60

Solution

w = {40, 60}

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