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Simplifying
(5w + -7)(5w + 7) = 0
Reorder the terms:
(-7 + 5w)(5w + 7) = 0
Reorder the terms:
(-7 + 5w)(7 + 5w) = 0
Multiply (-7 + 5w) * (7 + 5w)
(-7(7 + 5w) + 5w * (7 + 5w)) = 0
((7 * -7 + 5w * -7) + 5w * (7 + 5w)) = 0
((-49 + -35w) + 5w * (7 + 5w)) = 0
(-49 + -35w + (7 * 5w + 5w * 5w)) = 0
(-49 + -35w + (35w + 25w2)) = 0
Combine like terms: -35w + 35w = 0
(-49 + 0 + 25w2) = 0
(-49 + 25w2) = 0
Solving
-49 + 25w2 = 0
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '49' to each side of the equation.
-49 + 49 + 25w2 = 0 + 49
Combine like terms: -49 + 49 = 0
0 + 25w2 = 0 + 49
25w2 = 0 + 49
Combine like terms: 0 + 49 = 49
25w2 = 49
Divide each side by '25'.
w2 = 1.96
Simplifying
w2 = 1.96
Take the square root of each side:
w = {-1.4, 1.4}
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