9x^2+30xy+25y^2=3x^2+2(3x)(5y)+5y^2

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Solution for 9x^2+30xy+25y^2=3x^2+2(3x)(5y)+5y^2 equation: 


Simplifying
9x2 + 30xy + 25y2 = 3x2 + 2(3x)(5y) + 5y2

Reorder the terms:
30xy + 9x2 + 25y2 = 3x2 + 2(3x)(5y) + 5y2

Remove parenthesis around (3x)
30xy + 9x2 + 25y2 = 3x2 + 2 * 3x(5y) + 5y2

Remove parenthesis around (5y)
30xy + 9x2 + 25y2 = 3x2 + 2 * 3x * 5y + 5y2

Reorder the terms for easier multiplication:
30xy + 9x2 + 25y2 = 3x2 + 2 * 3 * 5x * y + 5y2

Multiply 2 * 3
30xy + 9x2 + 25y2 = 3x2 + 6 * 5x * y + 5y2

Multiply 6 * 5
30xy + 9x2 + 25y2 = 3x2 + 30x * y + 5y2

Multiply x * y
30xy + 9x2 + 25y2 = 3x2 + 30xy + 5y2

Reorder the terms:
30xy + 9x2 + 25y2 = 30xy + 3x2 + 5y2

Add '-30xy' to each side of the equation.
30xy + 9x2 + -30xy + 25y2 = 30xy + 3x2 + -30xy + 5y2

Reorder the terms:
30xy + -30xy + 9x2 + 25y2 = 30xy + 3x2 + -30xy + 5y2

Combine like terms: 30xy + -30xy = 0
0 + 9x2 + 25y2 = 30xy + 3x2 + -30xy + 5y2
9x2 + 25y2 = 30xy + 3x2 + -30xy + 5y2

Reorder the terms:
9x2 + 25y2 = 30xy + -30xy + 3x2 + 5y2

Combine like terms: 30xy + -30xy = 0
9x2 + 25y2 = 0 + 3x2 + 5y2
9x2 + 25y2 = 3x2 + 5y2

Solving
9x2 + 25y2 = 3x2 + 5y2

Solving for variable 'x'.

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

Add '-3x2' to each side of the equation.
9x2 + -3x2 + 25y2 = 3x2 + -3x2 + 5y2

Combine like terms: 9x2 + -3x2 = 6x2
6x2 + 25y2 = 3x2 + -3x2 + 5y2

Combine like terms: 3x2 + -3x2 = 0
6x2 + 25y2 = 0 + 5y2
6x2 + 25y2 = 5y2

Add '-25y2' to each side of the equation.
6x2 + 25y2 + -25y2 = 5y2 + -25y2

Combine like terms: 25y2 + -25y2 = 0
6x2 + 0 = 5y2 + -25y2
6x2 = 5y2 + -25y2

Combine like terms: 5y2 + -25y2 = -20y2
6x2 = -20y2

Divide each side by '6'.
x2 = -3.333333333y2

Simplifying
x2 = -3.333333333y2

Combine like terms: -3.333333333y2 + 3.333333333y2 = 0.000000000
x2 + 3.333333333y2 = 0.000000000

The solution to this equation could not be determined.

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