(7y+5)(7y-5)=cy^2+d

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Solution for (7y+5)(7y-5)=cy^2+d equation:


Simplifying
(7y + 5)(7y + -5) = cy2 + d

Reorder the terms:
(5 + 7y)(7y + -5) = cy2 + d

Reorder the terms:
(5 + 7y)(-5 + 7y) = cy2 + d

Multiply (5 + 7y) * (-5 + 7y)
(5(-5 + 7y) + 7y * (-5 + 7y)) = cy2 + d
((-5 * 5 + 7y * 5) + 7y * (-5 + 7y)) = cy2 + d
((-25 + 35y) + 7y * (-5 + 7y)) = cy2 + d
(-25 + 35y + (-5 * 7y + 7y * 7y)) = cy2 + d
(-25 + 35y + (-35y + 49y2)) = cy2 + d

Combine like terms: 35y + -35y = 0
(-25 + 0 + 49y2) = cy2 + d
(-25 + 49y2) = cy2 + d

Solving
-25 + 49y2 = cy2 + d

Solving for variable 'y'.

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

Add '-1cy2' to each side of the equation.
-25 + -1cy2 + 49y2 = cy2 + -1cy2 + d

Combine like terms: cy2 + -1cy2 = 0
-25 + -1cy2 + 49y2 = 0 + d
-25 + -1cy2 + 49y2 = d

Add '25' to each side of the equation.
-25 + -1cy2 + 25 + 49y2 = 25 + d

Reorder the terms:
-25 + 25 + -1cy2 + 49y2 = 25 + d

Combine like terms: -25 + 25 = 0
0 + -1cy2 + 49y2 = 25 + d
-1cy2 + 49y2 = 25 + d

Reorder the terms:
-25 + -1cy2 + -1d + 49y2 = 25 + d + -25 + -1d

Reorder the terms:
-25 + -1cy2 + -1d + 49y2 = 25 + -25 + d + -1d

Combine like terms: 25 + -25 = 0
-25 + -1cy2 + -1d + 49y2 = 0 + d + -1d
-25 + -1cy2 + -1d + 49y2 = d + -1d

Combine like terms: d + -1d = 0
-25 + -1cy2 + -1d + 49y2 = 0

The solution to this equation could not be determined.

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