14w-w^2=40

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Solution for 14w-w^2=40 equation:


Simplifying
14w + -1w2 = 40

Solving
14w + -1w2 = 40

Solving for variable 'w'.

Reorder the terms:
-40 + 14w + -1w2 = 40 + -40

Combine like terms: 40 + -40 = 0
-40 + 14w + -1w2 = 0

Factor a trinomial.
(-10 + w)(4 + -1w) = 0

Subproblem 1

Set the factor '(-10 + w)' equal to zero and attempt to solve: Simplifying -10 + w = 0 Solving -10 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + w = 0 + 10 Combine like terms: -10 + 10 = 0 0 + w = 0 + 10 w = 0 + 10 Combine like terms: 0 + 10 = 10 w = 10 Simplifying w = 10

Subproblem 2

Set the factor '(4 + -1w)' equal to zero and attempt to solve: Simplifying 4 + -1w = 0 Solving 4 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1w = 0 + -4 -1w = 0 + -4 Combine like terms: 0 + -4 = -4 -1w = -4 Divide each side by '-1'. w = 4 Simplifying w = 4

Solution

w = {10, 4}

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