0=17w^2+6w

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Solution for 0=17w^2+6w equation:


Simplifying
0 = 17w2 + 6w

Reorder the terms:
0 = 6w + 17w2

Solving
0 = 6w + 17w2

Solving for variable 'w'.
Remove the zero:
-6w + -17w2 = 6w + 17w2 + -6w + -17w2

Reorder the terms:
-6w + -17w2 = 6w + -6w + 17w2 + -17w2

Combine like terms: 6w + -6w = 0
-6w + -17w2 = 0 + 17w2 + -17w2
-6w + -17w2 = 17w2 + -17w2

Combine like terms: 17w2 + -17w2 = 0
-6w + -17w2 = 0

Factor out the Greatest Common Factor (GCF), '-1w'.
-1w(6 + 17w) = 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 '(6 + 17w)' equal to zero and attempt to solve: Simplifying 6 + 17w = 0 Solving 6 + 17w = 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 + 17w = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 17w = 0 + -6 17w = 0 + -6 Combine like terms: 0 + -6 = -6 17w = -6 Divide each side by '17'. w = -0.3529411765 Simplifying w = -0.3529411765

Solution

w = {0, -0.3529411765}

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