4(x^2-10)+9(y^2-4y)=-100

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Solution for 4(x^2-10)+9(y^2-4y)=-100 equation: 


Simplifying
4(x2 + -10) + 9(y2 + -4y) = -100

Reorder the terms:
4(-10 + x2) + 9(y2 + -4y) = -100
(-10 * 4 + x2 * 4) + 9(y2 + -4y) = -100
(-40 + 4x2) + 9(y2 + -4y) = -100

Reorder the terms:
-40 + 4x2 + 9(-4y + y2) = -100
-40 + 4x2 + (-4y * 9 + y2 * 9) = -100
-40 + 4x2 + (-36y + 9y2) = -100

Solving
-40 + 4x2 + -36y + 9y2 = -100

Solving for variable 'x'.

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

Add '40' to each side of the equation.
-40 + 4x2 + -36y + 40 + 9y2 = -100 + 40

Reorder the terms:
-40 + 40 + 4x2 + -36y + 9y2 = -100 + 40

Combine like terms: -40 + 40 = 0
0 + 4x2 + -36y + 9y2 = -100 + 40
4x2 + -36y + 9y2 = -100 + 40

Combine like terms: -100 + 40 = -60
4x2 + -36y + 9y2 = -60

Add '36y' to each side of the equation.
4x2 + -36y + 36y + 9y2 = -60 + 36y

Combine like terms: -36y + 36y = 0
4x2 + 0 + 9y2 = -60 + 36y
4x2 + 9y2 = -60 + 36y

Add '-9y2' to each side of the equation.
4x2 + 9y2 + -9y2 = -60 + 36y + -9y2

Combine like terms: 9y2 + -9y2 = 0
4x2 + 0 = -60 + 36y + -9y2
4x2 = -60 + 36y + -9y2

Divide each side by '4'.
x2 = -15 + 9y + -2.25y2

Simplifying
x2 = -15 + 9y + -2.25y2

Reorder the terms:
15 + x2 + -9y + 2.25y2 = -15 + 9y + -2.25y2 + 15 + -9y + 2.25y2

Reorder the terms:
15 + x2 + -9y + 2.25y2 = -15 + 15 + 9y + -9y + -2.25y2 + 2.25y2

Combine like terms: -15 + 15 = 0
15 + x2 + -9y + 2.25y2 = 0 + 9y + -9y + -2.25y2 + 2.25y2
15 + x2 + -9y + 2.25y2 = 9y + -9y + -2.25y2 + 2.25y2

Combine like terms: 9y + -9y = 0
15 + x2 + -9y + 2.25y2 = 0 + -2.25y2 + 2.25y2
15 + x2 + -9y + 2.25y2 = -2.25y2 + 2.25y2

Combine like terms: -2.25y2 + 2.25y2 = 0.00
15 + x2 + -9y + 2.25y2 = 0.00

The solution to this equation could not be determined.

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