2w(7w+5)=0

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Solution for 2w(7w+5)=0 equation:


Simplifying
2w(7w + 5) = 0

Reorder the terms:
2w(5 + 7w) = 0
(5 * 2w + 7w * 2w) = 0
(10w + 14w2) = 0

Solving
10w + 14w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '2w'.
2w(5 + 7w) = 0

Ignore the factor 2.

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 '(5 + 7w)' equal to zero and attempt to solve: Simplifying 5 + 7w = 0 Solving 5 + 7w = 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 + 7w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 7w = 0 + -5 7w = 0 + -5 Combine like terms: 0 + -5 = -5 7w = -5 Divide each side by '7'. w = -0.7142857143 Simplifying w = -0.7142857143

Solution

w = {0, -0.7142857143}

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