w(w+5)=750

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Solution for w(w+5)=750 equation:


Simplifying
w(w + 5) = 750

Reorder the terms:
w(5 + w) = 750
(5 * w + w * w) = 750
(5w + w2) = 750

Solving
5w + w2 = 750

Solving for variable 'w'.

Reorder the terms:
-750 + 5w + w2 = 750 + -750

Combine like terms: 750 + -750 = 0
-750 + 5w + w2 = 0

Factor a trinomial.
(-30 + -1w)(25 + -1w) = 0

Subproblem 1

Set the factor '(-30 + -1w)' equal to zero and attempt to solve: Simplifying -30 + -1w = 0 Solving -30 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -1w = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -1w = 0 + 30 -1w = 0 + 30 Combine like terms: 0 + 30 = 30 -1w = 30 Divide each side by '-1'. w = -30 Simplifying w = -30

Subproblem 2

Set the factor '(25 + -1w)' equal to zero and attempt to solve: Simplifying 25 + -1w = 0 Solving 25 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -1w = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1w = 0 + -25 -1w = 0 + -25 Combine like terms: 0 + -25 = -25 -1w = -25 Divide each side by '-1'. w = 25 Simplifying w = 25

Solution

w = {-30, 25}

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