(12w*w)+32w+5=0

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Solution for (12w*w)+32w+5=0 equation:


Simplifying
(12w * w) + 32w + 5 = 0

Multiply w * w
(12w2) + 32w + 5 = 0

Reorder the terms:
5 + 32w + (12w2) = 0

Solving
5 + 32w + (12w2) = 0

Solving for variable 'w'.

Factor a trinomial.
(5 + 2w)(1 + 6w) = 0

Subproblem 1

Set the factor '(5 + 2w)' equal to zero and attempt to solve: Simplifying 5 + 2w = 0 Solving 5 + 2w = 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 + 2w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2w = 0 + -5 2w = 0 + -5 Combine like terms: 0 + -5 = -5 2w = -5 Divide each side by '2'. w = -2.5 Simplifying w = -2.5

Subproblem 2

Set the factor '(1 + 6w)' equal to zero and attempt to solve: Simplifying 1 + 6w = 0 Solving 1 + 6w = 0 Move all terms containing w to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 6w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6w = 0 + -1 6w = 0 + -1 Combine like terms: 0 + -1 = -1 6w = -1 Divide each side by '6'. w = -0.1666666667 Simplifying w = -0.1666666667

Solution

w = {-2.5, -0.1666666667}

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