4y^2+16y+25x^2-84=0

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Solution for 4y^2+16y+25x^2-84=0 equation:


Simplifying
4y2 + 16y + 25x2 + -84 = 0

Reorder the terms:
-84 + 25x2 + 16y + 4y2 = 0

Solving
-84 + 25x2 + 16y + 4y2 = 0

Solving for variable 'x'.

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

Add '84' to each side of the equation.
-84 + 25x2 + 16y + 84 + 4y2 = 0 + 84

Reorder the terms:
-84 + 84 + 25x2 + 16y + 4y2 = 0 + 84

Combine like terms: -84 + 84 = 0
0 + 25x2 + 16y + 4y2 = 0 + 84
25x2 + 16y + 4y2 = 0 + 84

Combine like terms: 0 + 84 = 84
25x2 + 16y + 4y2 = 84

Add '-16y' to each side of the equation.
25x2 + 16y + -16y + 4y2 = 84 + -16y

Combine like terms: 16y + -16y = 0
25x2 + 0 + 4y2 = 84 + -16y
25x2 + 4y2 = 84 + -16y

Add '-4y2' to each side of the equation.
25x2 + 4y2 + -4y2 = 84 + -16y + -4y2

Combine like terms: 4y2 + -4y2 = 0
25x2 + 0 = 84 + -16y + -4y2
25x2 = 84 + -16y + -4y2

Divide each side by '25'.
x2 = 3.36 + -0.64y + -0.16y2

Simplifying
x2 = 3.36 + -0.64y + -0.16y2

Reorder the terms:
-3.36 + x2 + 0.64y + 0.16y2 = 3.36 + -0.64y + -0.16y2 + -3.36 + 0.64y + 0.16y2

Reorder the terms:
-3.36 + x2 + 0.64y + 0.16y2 = 3.36 + -3.36 + -0.64y + 0.64y + -0.16y2 + 0.16y2

Combine like terms: 3.36 + -3.36 = 0.00
-3.36 + x2 + 0.64y + 0.16y2 = 0.00 + -0.64y + 0.64y + -0.16y2 + 0.16y2
-3.36 + x2 + 0.64y + 0.16y2 = -0.64y + 0.64y + -0.16y2 + 0.16y2

Combine like terms: -0.64y + 0.64y = 0.00
-3.36 + x2 + 0.64y + 0.16y2 = 0.00 + -0.16y2 + 0.16y2
-3.36 + x2 + 0.64y + 0.16y2 = -0.16y2 + 0.16y2

Combine like terms: -0.16y2 + 0.16y2 = 0.00
-3.36 + x2 + 0.64y + 0.16y2 = 0.00

The solution to this equation could not be determined.

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