-11w-6=4w^2

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Solution for -11w-6=4w^2 equation:


Simplifying
-11w + -6 = 4w2

Reorder the terms:
-6 + -11w = 4w2

Solving
-6 + -11w = 4w2

Solving for variable 'w'.

Combine like terms: 4w2 + -4w2 = 0
-6 + -11w + -4w2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(6 + 11w + 4w2) = 0

Factor a trinomial.
-1((2 + w)(3 + 4w)) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(2 + w)' equal to zero and attempt to solve: Simplifying 2 + w = 0 Solving 2 + w = 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 + w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + w = 0 + -2 w = 0 + -2 Combine like terms: 0 + -2 = -2 w = -2 Simplifying w = -2

Subproblem 2

Set the factor '(3 + 4w)' equal to zero and attempt to solve: Simplifying 3 + 4w = 0 Solving 3 + 4w = 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 + 4w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4w = 0 + -3 4w = 0 + -3 Combine like terms: 0 + -3 = -3 4w = -3 Divide each side by '4'. w = -0.75 Simplifying w = -0.75

Solution

w = {-2, -0.75}

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