4y^2+25=3x-2

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Solution for 4y^2+25=3x-2 equation:


Simplifying
4y2 + 25 = 3x + -2

Reorder the terms:
25 + 4y2 = 3x + -2

Reorder the terms:
25 + 4y2 = -2 + 3x

Solving
25 + 4y2 = -2 + 3x

Solving for variable 'y'.

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

Add '-25' to each side of the equation.
25 + -25 + 4y2 = -2 + -25 + 3x

Combine like terms: 25 + -25 = 0
0 + 4y2 = -2 + -25 + 3x
4y2 = -2 + -25 + 3x

Combine like terms: -2 + -25 = -27
4y2 = -27 + 3x

Divide each side by '4'.
y2 = -6.75 + 0.75x

Simplifying
y2 = -6.75 + 0.75x

Reorder the terms:
6.75 + -0.75x + y2 = -6.75 + 0.75x + 6.75 + -0.75x

Reorder the terms:
6.75 + -0.75x + y2 = -6.75 + 6.75 + 0.75x + -0.75x

Combine like terms: -6.75 + 6.75 = 0.00
6.75 + -0.75x + y2 = 0.00 + 0.75x + -0.75x
6.75 + -0.75x + y2 = 0.75x + -0.75x

Combine like terms: 0.75x + -0.75x = 0.00
6.75 + -0.75x + y2 = 0.00

The solution to this equation could not be determined.

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