(w-7)(-6w+5)=0

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Solution for (w-7)(-6w+5)=0 equation:


Simplifying
(w + -7)(-6w + 5) = 0

Reorder the terms:
(-7 + w)(-6w + 5) = 0

Reorder the terms:
(-7 + w)(5 + -6w) = 0

Multiply (-7 + w) * (5 + -6w)
(-7(5 + -6w) + w(5 + -6w)) = 0
((5 * -7 + -6w * -7) + w(5 + -6w)) = 0
((-35 + 42w) + w(5 + -6w)) = 0
(-35 + 42w + (5 * w + -6w * w)) = 0
(-35 + 42w + (5w + -6w2)) = 0

Combine like terms: 42w + 5w = 47w
(-35 + 47w + -6w2) = 0

Solving
-35 + 47w + -6w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-7 + w)(5 + -6w) = 0

Subproblem 1

Set the factor '(-7 + w)' equal to zero and attempt to solve: Simplifying -7 + w = 0 Solving -7 + w = 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 + w = 0 + 7 Combine like terms: -7 + 7 = 0 0 + w = 0 + 7 w = 0 + 7 Combine like terms: 0 + 7 = 7 w = 7 Simplifying w = 7

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 = {7, 0.8333333333}

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