(3w-7)w=66

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Solution for (3w-7)w=66 equation:


Simplifying
(3w + -7) * w = 66

Reorder the terms:
(-7 + 3w) * w = 66

Reorder the terms for easier multiplication:
w(-7 + 3w) = 66
(-7 * w + 3w * w) = 66
(-7w + 3w2) = 66

Solving
-7w + 3w2 = 66

Solving for variable 'w'.

Reorder the terms:
-66 + -7w + 3w2 = 66 + -66

Combine like terms: 66 + -66 = 0
-66 + -7w + 3w2 = 0

Factor a trinomial.
(-11 + -3w)(6 + -1w) = 0

Subproblem 1

Set the factor '(-11 + -3w)' equal to zero and attempt to solve: Simplifying -11 + -3w = 0 Solving -11 + -3w = 0 Move all terms containing w to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -3w = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -3w = 0 + 11 -3w = 0 + 11 Combine like terms: 0 + 11 = 11 -3w = 11 Divide each side by '-3'. w = -3.666666667 Simplifying w = -3.666666667

Subproblem 2

Set the factor '(6 + -1w)' equal to zero and attempt to solve: Simplifying 6 + -1w = 0 Solving 6 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1w = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1w = 0 + -6 -1w = 0 + -6 Combine like terms: 0 + -6 = -6 -1w = -6 Divide each side by '-1'. w = 6 Simplifying w = 6

Solution

w = {-3.666666667, 6}

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