w(19+6w)=7

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Solution for w(19+6w)=7 equation:


Simplifying
w(19 + 6w) = 7
(19 * w + 6w * w) = 7
(19w + 6w2) = 7

Solving
19w + 6w2 = 7

Solving for variable 'w'.

Reorder the terms:
-7 + 19w + 6w2 = 7 + -7

Combine like terms: 7 + -7 = 0
-7 + 19w + 6w2 = 0

Factor a trinomial.
(-7 + -2w)(1 + -3w) = 0

Subproblem 1

Set the factor '(-7 + -2w)' equal to zero and attempt to solve: Simplifying -7 + -2w = 0 Solving -7 + -2w = 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 + -2w = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2w = 0 + 7 -2w = 0 + 7 Combine like terms: 0 + 7 = 7 -2w = 7 Divide each side by '-2'. w = -3.5 Simplifying w = -3.5

Subproblem 2

Set the factor '(1 + -3w)' equal to zero and attempt to solve: Simplifying 1 + -3w = 0 Solving 1 + -3w = 0 Move all terms containing w to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3w = 0 + -1 -3w = 0 + -1 Combine like terms: 0 + -1 = -1 -3w = -1 Divide each side by '-3'. w = 0.3333333333 Simplifying w = 0.3333333333

Solution

w = {-3.5, 0.3333333333}

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