(11w+5)(6w-5)=0

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Solution for (11w+5)(6w-5)=0 equation:


Simplifying
(11w + 5)(6w + -5) = 0

Reorder the terms:
(5 + 11w)(6w + -5) = 0

Reorder the terms:
(5 + 11w)(-5 + 6w) = 0

Multiply (5 + 11w) * (-5 + 6w)
(5(-5 + 6w) + 11w * (-5 + 6w)) = 0
((-5 * 5 + 6w * 5) + 11w * (-5 + 6w)) = 0
((-25 + 30w) + 11w * (-5 + 6w)) = 0
(-25 + 30w + (-5 * 11w + 6w * 11w)) = 0
(-25 + 30w + (-55w + 66w2)) = 0

Combine like terms: 30w + -55w = -25w
(-25 + -25w + 66w2) = 0

Solving
-25 + -25w + 66w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-5 + -11w)(5 + -6w) = 0

Subproblem 1

Set the factor '(-5 + -11w)' equal to zero and attempt to solve: Simplifying -5 + -11w = 0 Solving -5 + -11w = 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 + -11w = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -11w = 0 + 5 -11w = 0 + 5 Combine like terms: 0 + 5 = 5 -11w = 5 Divide each side by '-11'. w = -0.4545454545 Simplifying w = -0.4545454545

Subproblem 2

Set the factor '(5 + -6w)' equal to zero and attempt to solve: Simplifying 5 + -6w = 0 Solving 5 + -6w = 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 + -6w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6w = 0 + -5 -6w = 0 + -5 Combine like terms: 0 + -5 = -5 -6w = -5 Divide each side by '-6'. w = 0.8333333333 Simplifying w = 0.8333333333

Solution

w = {-0.4545454545, 0.8333333333}

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