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Simplifying
(3y + 5w)(3y + -5w) = 0
Reorder the terms:
(5w + 3y)(3y + -5w) = 0
Reorder the terms:
(5w + 3y)(-5w + 3y) = 0
Multiply (5w + 3y) * (-5w + 3y)
(5w * (-5w + 3y) + 3y * (-5w + 3y)) = 0
((-5w * 5w + 3y * 5w) + 3y * (-5w + 3y)) = 0
Reorder the terms:
((15wy + -25w2) + 3y * (-5w + 3y)) = 0
((15wy + -25w2) + 3y * (-5w + 3y)) = 0
(15wy + -25w2 + (-5w * 3y + 3y * 3y)) = 0
(15wy + -25w2 + (-15wy + 9y2)) = 0
Reorder the terms:
(15wy + -15wy + -25w2 + 9y2) = 0
Combine like terms: 15wy + -15wy = 0
(0 + -25w2 + 9y2) = 0
(-25w2 + 9y2) = 0
Solving
-25w2 + 9y2 = 0
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '-9y2' to each side of the equation.
-25w2 + 9y2 + -9y2 = 0 + -9y2
Combine like terms: 9y2 + -9y2 = 0
-25w2 + 0 = 0 + -9y2
-25w2 = 0 + -9y2
Remove the zero:
-25w2 = -9y2
Divide each side by '-25'.
w2 = 0.36y2
Simplifying
w2 = 0.36y2
Take the square root of each side:
w = {-0.6y, 0.6y}
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