2W^2-W=6

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Solution for 2W^2-W=6 equation:


Simplifying
2W2 + -1W = 6

Reorder the terms:
-1W + 2W2 = 6

Solving
-1W + 2W2 = 6

Solving for variable 'W'.

Reorder the terms:
-6 + -1W + 2W2 = 6 + -6

Combine like terms: 6 + -6 = 0
-6 + -1W + 2W2 = 0

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

Subproblem 1

Set the factor '(-3 + -2W)' equal to zero and attempt to solve: Simplifying -3 + -2W = 0 Solving -3 + -2W = 0 Move all terms containing W to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -2W = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2W = 0 + 3 -2W = 0 + 3 Combine like terms: 0 + 3 = 3 -2W = 3 Divide each side by '-2'. W = -1.5 Simplifying W = -1.5

Subproblem 2

Set the factor '(2 + -1W)' equal to zero and attempt to solve: Simplifying 2 + -1W = 0 Solving 2 + -1W = 0 Move all terms containing W to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1W = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1W = 0 + -2 -1W = 0 + -2 Combine like terms: 0 + -2 = -2 -1W = -2 Divide each side by '-1'. W = 2 Simplifying W = 2

Solution

W = {-1.5, 2}

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