w^2+21=10w

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Solution for w^2+21=10w equation:


Simplifying
w2 + 21 = 10w

Reorder the terms:
21 + w2 = 10w

Solving
21 + w2 = 10w

Solving for variable 'w'.

Reorder the terms:
21 + -10w + w2 = 10w + -10w

Combine like terms: 10w + -10w = 0
21 + -10w + w2 = 0

Factor a trinomial.
(3 + -1w)(7 + -1w) = 0

Subproblem 1

Set the factor '(3 + -1w)' equal to zero and attempt to solve: Simplifying 3 + -1w = 0 Solving 3 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1w = 0 + -3 -1w = 0 + -3 Combine like terms: 0 + -3 = -3 -1w = -3 Divide each side by '-1'. w = 3 Simplifying w = 3

Subproblem 2

Set the factor '(7 + -1w)' equal to zero and attempt to solve: Simplifying 7 + -1w = 0 Solving 7 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1w = 0 + -7 -1w = 0 + -7 Combine like terms: 0 + -7 = -7 -1w = -7 Divide each side by '-1'. w = 7 Simplifying w = 7

Solution

w = {3, 7}

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