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Simplifying
4y2 + 25 + -100 = 0
Reorder the terms:
25 + -100 + 4y2 = 0
Combine like terms: 25 + -100 = -75
-75 + 4y2 = 0
Solving
-75 + 4y2 = 0
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '75' to each side of the equation.
-75 + 75 + 4y2 = 0 + 75
Combine like terms: -75 + 75 = 0
0 + 4y2 = 0 + 75
4y2 = 0 + 75
Combine like terms: 0 + 75 = 75
4y2 = 75
Divide each side by '4'.
y2 = 18.75
Simplifying
y2 = 18.75
Take the square root of each side:
y = {-4.330127019, 4.330127019}
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