(6+w)*w=135

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Solution for (6+w)*w=135 equation:


Simplifying
(6 + w) * w = 135

Reorder the terms for easier multiplication:
w(6 + w) = 135
(6 * w + w * w) = 135
(6w + w2) = 135

Solving
6w + w2 = 135

Solving for variable 'w'.

Reorder the terms:
-135 + 6w + w2 = 135 + -135

Combine like terms: 135 + -135 = 0
-135 + 6w + w2 = 0

Factor a trinomial.
(-15 + -1w)(9 + -1w) = 0

Subproblem 1

Set the factor '(-15 + -1w)' equal to zero and attempt to solve: Simplifying -15 + -1w = 0 Solving -15 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -1w = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -1w = 0 + 15 -1w = 0 + 15 Combine like terms: 0 + 15 = 15 -1w = 15 Divide each side by '-1'. w = -15 Simplifying w = -15

Subproblem 2

Set the factor '(9 + -1w)' equal to zero and attempt to solve: Simplifying 9 + -1w = 0 Solving 9 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1w = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1w = 0 + -9 -1w = 0 + -9 Combine like terms: 0 + -9 = -9 -1w = -9 Divide each side by '-1'. w = 9 Simplifying w = 9

Solution

w = {-15, 9}

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