0=w+8w^2

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Solution for 0=w+8w^2 equation:


Simplifying
0 = w + 8w2

Solving
0 = w + 8w2

Solving for variable 'w'.
Remove the zero:
-1w + -8w2 = w + 8w2 + -1w + -8w2

Reorder the terms:
-1w + -8w2 = w + -1w + 8w2 + -8w2

Combine like terms: w + -1w = 0
-1w + -8w2 = 0 + 8w2 + -8w2
-1w + -8w2 = 8w2 + -8w2

Combine like terms: 8w2 + -8w2 = 0
-1w + -8w2 = 0

Factor out the Greatest Common Factor (GCF), '-1w'.
-1w(1 + 8w) = 0

Ignore the factor -1.

Subproblem 1

Set the factor 'w' equal to zero and attempt to solve: Simplifying w = 0 Solving w = 0 Move all terms containing w to the left, all other terms to the right. Simplifying w = 0

Subproblem 2

Set the factor '(1 + 8w)' equal to zero and attempt to solve: Simplifying 1 + 8w = 0 Solving 1 + 8w = 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 + 8w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 8w = 0 + -1 8w = 0 + -1 Combine like terms: 0 + -1 = -1 8w = -1 Divide each side by '8'. w = -0.125 Simplifying w = -0.125

Solution

w = {0, -0.125}

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