49w*w-25=0

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Solution for 49w*w-25=0 equation: 


Simplifying
49w * w + -25 = 0

Multiply w * w
49w2 + -25 = 0

Reorder the terms:
-25 + 49w2 = 0

Solving
-25 + 49w2 = 0

Solving for variable 'w'.

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

Add '25' to each side of the equation.
-25 + 25 + 49w2 = 0 + 25

Combine like terms: -25 + 25 = 0
0 + 49w2 = 0 + 25
49w2 = 0 + 25

Combine like terms: 0 + 25 = 25
49w2 = 25

Divide each side by '49'.
w2 = 0.5102040816

Simplifying
w2 = 0.5102040816

Take the square root of each side:
w = {-0.714285714, 0.714285714}

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