w(3w-8)=35

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Solution for w(3w-8)=35 equation:


Simplifying
w(3w + -8) = 35

Reorder the terms:
w(-8 + 3w) = 35
(-8 * w + 3w * w) = 35
(-8w + 3w2) = 35

Solving
-8w + 3w2 = 35

Solving for variable 'w'.

Reorder the terms:
-35 + -8w + 3w2 = 35 + -35

Combine like terms: 35 + -35 = 0
-35 + -8w + 3w2 = 0

Factor a trinomial.
(-7 + -3w)(5 + -1w) = 0

Subproblem 1

Set the factor '(-7 + -3w)' equal to zero and attempt to solve: Simplifying -7 + -3w = 0 Solving -7 + -3w = 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 + -3w = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3w = 0 + 7 -3w = 0 + 7 Combine like terms: 0 + 7 = 7 -3w = 7 Divide each side by '-3'. w = -2.333333333 Simplifying w = -2.333333333

Subproblem 2

Set the factor '(5 + -1w)' equal to zero and attempt to solve: Simplifying 5 + -1w = 0 Solving 5 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1w = 0 + -5 -1w = 0 + -5 Combine like terms: 0 + -5 = -5 -1w = -5 Divide each side by '-1'. w = 5 Simplifying w = 5

Solution

w = {-2.333333333, 5}

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