w^2-24=10w

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Solution for w^2-24=10w equation:


Simplifying
w2 + -24 = 10w

Reorder the terms:
-24 + w2 = 10w

Solving
-24 + w2 = 10w

Solving for variable 'w'.

Reorder the terms:
-24 + -10w + w2 = 10w + -10w

Combine like terms: 10w + -10w = 0
-24 + -10w + w2 = 0

Factor a trinomial.
(-2 + -1w)(12 + -1w) = 0

Subproblem 1

Set the factor '(-2 + -1w)' equal to zero and attempt to solve: Simplifying -2 + -1w = 0 Solving -2 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1w = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1w = 0 + 2 -1w = 0 + 2 Combine like terms: 0 + 2 = 2 -1w = 2 Divide each side by '-1'. w = -2 Simplifying w = -2

Subproblem 2

Set the factor '(12 + -1w)' equal to zero and attempt to solve: Simplifying 12 + -1w = 0 Solving 12 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1w = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1w = 0 + -12 -1w = 0 + -12 Combine like terms: 0 + -12 = -12 -1w = -12 Divide each side by '-1'. w = 12 Simplifying w = 12

Solution

w = {-2, 12}

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