(4y^2+9)-(y^2+25)23=0

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Solution for (4y^2+9)-(y^2+25)23=0 equation:


Simplifying
(4y2 + 9) + -1(y2 + 25) * 23 = 0

Reorder the terms:
(9 + 4y2) + -1(y2 + 25) * 23 = 0

Remove parenthesis around (9 + 4y2)
9 + 4y2 + -1(y2 + 25) * 23 = 0

Reorder the terms:
9 + 4y2 + -1(25 + y2) * 23 = 0

Reorder the terms for easier multiplication:
9 + 4y2 + -1 * 23(25 + y2) = 0

Multiply -1 * 23
9 + 4y2 + -23(25 + y2) = 0
9 + 4y2 + (25 * -23 + y2 * -23) = 0
9 + 4y2 + (-575 + -23y2) = 0

Reorder the terms:
9 + -575 + 4y2 + -23y2 = 0

Combine like terms: 9 + -575 = -566
-566 + 4y2 + -23y2 = 0

Combine like terms: 4y2 + -23y2 = -19y2
-566 + -19y2 = 0

Solving
-566 + -19y2 = 0

Solving for variable 'y'.

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

Add '566' to each side of the equation.
-566 + 566 + -19y2 = 0 + 566

Combine like terms: -566 + 566 = 0
0 + -19y2 = 0 + 566
-19y2 = 0 + 566

Combine like terms: 0 + 566 = 566
-19y2 = 566

Divide each side by '-19'.
y2 = -29.78947368

Simplifying
y2 = -29.78947368

Reorder the terms:
29.78947368 + y2 = -29.78947368 + 29.78947368

Combine like terms: -29.78947368 + 29.78947368 = 0.00000000
29.78947368 + y2 = 0.00000000

The solution to this equation could not be determined.

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