2.5y^2+1.5y-3x^2=2x^2

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Solution for 2.5y^2+1.5y-3x^2=2x^2 equation:


Simplifying
2.5y2 + 1.5y + -3x2 = 2x2

Reorder the terms:
-3x2 + 1.5y + 2.5y2 = 2x2

Solving
-3x2 + 1.5y + 2.5y2 = 2x2

Solving for variable 'x'.

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

Add '-2x2' to each side of the equation.
-3x2 + 1.5y + -2x2 + 2.5y2 = 2x2 + -2x2

Reorder the terms:
-3x2 + -2x2 + 1.5y + 2.5y2 = 2x2 + -2x2

Combine like terms: -3x2 + -2x2 = -5x2
-5x2 + 1.5y + 2.5y2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-5x2 + 1.5y + 2.5y2 = 0

Add '-1.5y' to each side of the equation.
-5x2 + 1.5y + -1.5y + 2.5y2 = 0 + -1.5y

Combine like terms: 1.5y + -1.5y = 0.0
-5x2 + 0.0 + 2.5y2 = 0 + -1.5y
-5x2 + 2.5y2 = 0 + -1.5y
Remove the zero:
-5x2 + 2.5y2 = -1.5y

Add '-2.5y2' to each side of the equation.
-5x2 + 2.5y2 + -2.5y2 = -1.5y + -2.5y2

Combine like terms: 2.5y2 + -2.5y2 = 0.0
-5x2 + 0.0 = -1.5y + -2.5y2
-5x2 = -1.5y + -2.5y2

Divide each side by '-5'.
x2 = 0.3y + 0.5y2

Simplifying
x2 = 0.3y + 0.5y2

Reorder the terms:
x2 + -0.3y + -0.5y2 = 0.3y + -0.3y + 0.5y2 + -0.5y2

Combine like terms: 0.3y + -0.3y = 0.0
x2 + -0.3y + -0.5y2 = 0.0 + 0.5y2 + -0.5y2
x2 + -0.3y + -0.5y2 = 0.5y2 + -0.5y2

Combine like terms: 0.5y2 + -0.5y2 = 0.0
x2 + -0.3y + -0.5y2 = 0.0

The solution to this equation could not be determined.

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