50y^2=25y^2+1600

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Solution for 50y^2=25y^2+1600 equation:


Simplifying
50y2 = 25y2 + 1600

Reorder the terms:
50y2 = 1600 + 25y2

Solving
50y2 = 1600 + 25y2

Solving for variable 'y'.

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

Add '-25y2' to each side of the equation.
50y2 + -25y2 = 1600 + 25y2 + -25y2

Combine like terms: 50y2 + -25y2 = 25y2
25y2 = 1600 + 25y2 + -25y2

Combine like terms: 25y2 + -25y2 = 0
25y2 = 1600 + 0
25y2 = 1600

Divide each side by '25'.
y2 = 64

Simplifying
y2 = 64

Take the square root of each side:
y = {-8, 8}

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