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Simplifying
(2x + -5w)(2x + 5w) = 0
Reorder the terms:
(-5w + 2x)(2x + 5w) = 0
Reorder the terms:
(-5w + 2x)(5w + 2x) = 0
Multiply (-5w + 2x) * (5w + 2x)
(-5w * (5w + 2x) + 2x * (5w + 2x)) = 0
((5w * -5w + 2x * -5w) + 2x * (5w + 2x)) = 0
Reorder the terms:
((-10wx + -25w2) + 2x * (5w + 2x)) = 0
((-10wx + -25w2) + 2x * (5w + 2x)) = 0
(-10wx + -25w2 + (5w * 2x + 2x * 2x)) = 0
(-10wx + -25w2 + (10wx + 4x2)) = 0
Reorder the terms:
(-10wx + 10wx + -25w2 + 4x2) = 0
Combine like terms: -10wx + 10wx = 0
(0 + -25w2 + 4x2) = 0
(-25w2 + 4x2) = 0
Solving
-25w2 + 4x2 = 0
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '-4x2' to each side of the equation.
-25w2 + 4x2 + -4x2 = 0 + -4x2
Combine like terms: 4x2 + -4x2 = 0
-25w2 + 0 = 0 + -4x2
-25w2 = 0 + -4x2
Remove the zero:
-25w2 = -4x2
Divide each side by '-25'.
w2 = 0.16x2
Simplifying
w2 = 0.16x2
Take the square root of each side:
w = {-0.4x, 0.4x}
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