(2w-14)(14w-2)=0

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Solution for (2w-14)(14w-2)=0 equation: 


Simplifying
(2w + -14)(14w + -2) = 0

Reorder the terms:
(-14 + 2w)(14w + -2) = 0

Reorder the terms:
(-14 + 2w)(-2 + 14w) = 0

Multiply (-14 + 2w) * (-2 + 14w)
(-14(-2 + 14w) + 2w * (-2 + 14w)) = 0
((-2 * -14 + 14w * -14) + 2w * (-2 + 14w)) = 0
((28 + -196w) + 2w * (-2 + 14w)) = 0
(28 + -196w + (-2 * 2w + 14w * 2w)) = 0
(28 + -196w + (-4w + 28w2)) = 0

Combine like terms: -196w + -4w = -200w
(28 + -200w + 28w2) = 0

Solving
28 + -200w + 28w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '4'.
4(7 + -50w + 7w2) = 0

Factor a trinomial.
4((1 + -7w)(7 + -1w)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(1 + -7w)' equal to zero and attempt to solve:

Simplifying
1 + -7w = 0

Solving
1 + -7w = 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 + -7w = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -7w = 0 + -1
-7w = 0 + -1

Combine like terms: 0 + -1 = -1
-7w = -1

Divide each side by '-7'.
w = 0.1428571429

Simplifying
w = 0.1428571429

Subproblem 2
Set the factor '(7 + -1w)' equal to zero and attempt to solve:

Simplifying
7 + -1w = 0

Solving
7 + -1w = 0

Move all terms containing w to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + -1w = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1w = 0 + -7
-1w = 0 + -7

Combine like terms: 0 + -7 = -7
-1w = -7

Divide each side by '-1'.
w = 7

Simplifying
w = 7
Solution
w = {0.1428571429, 7}

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