4x+3y+12=5*0.707*(x^2+y^2+2x+2y+2)

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Solution for 4x+3y+12=5*0.707*(x^2+y^2+2x+2y+2) equation: 


Simplifying
4x + 3y + 12 = 5 * 0.707(x2 + y2 + 2x + 2y + 2)

Reorder the terms:
12 + 4x + 3y = 5 * 0.707(x2 + y2 + 2x + 2y + 2)

Reorder the terms:
12 + 4x + 3y = 5 * 0.707(2 + 2x + x2 + 2y + y2)

Multiply 5 * 0.707
12 + 4x + 3y = 3.535(2 + 2x + x2 + 2y + y2)
12 + 4x + 3y = (2 * 3.535 + 2x * 3.535 + x2 * 3.535 + 2y * 3.535 + y2 * 3.535)
12 + 4x + 3y = (7.07 + 7.07x + 3.535x2 + 7.07y + 3.535y2)

Solving
12 + 4x + 3y = 7.07 + 7.07x + 3.535x2 + 7.07y + 3.535y2

Solving for variable 'x'.

Reorder the terms:
12 + -7.07 + 4x + -7.07x + -3.535x2 + 3y + -7.07y + -3.535y2 = 7.07 + 7.07x + 3.535x2 + 7.07y + 3.535y2 + -7.07 + -7.07x + -3.535x2 + -7.07y + -3.535y2

Combine like terms: 12 + -7.07 = 4.93
4.93 + 4x + -7.07x + -3.535x2 + 3y + -7.07y + -3.535y2 = 7.07 + 7.07x + 3.535x2 + 7.07y + 3.535y2 + -7.07 + -7.07x + -3.535x2 + -7.07y + -3.535y2

Combine like terms: 4x + -7.07x = -3.07x
4.93 + -3.07x + -3.535x2 + 3y + -7.07y + -3.535y2 = 7.07 + 7.07x + 3.535x2 + 7.07y + 3.535y2 + -7.07 + -7.07x + -3.535x2 + -7.07y + -3.535y2

Combine like terms: 3y + -7.07y = -4.07y
4.93 + -3.07x + -3.535x2 + -4.07y + -3.535y2 = 7.07 + 7.07x + 3.535x2 + 7.07y + 3.535y2 + -7.07 + -7.07x + -3.535x2 + -7.07y + -3.535y2

Reorder the terms:
4.93 + -3.07x + -3.535x2 + -4.07y + -3.535y2 = 7.07 + -7.07 + 7.07x + -7.07x + 3.535x2 + -3.535x2 + 7.07y + -7.07y + 3.535y2 + -3.535y2

Combine like terms: 7.07 + -7.07 = 0.00
4.93 + -3.07x + -3.535x2 + -4.07y + -3.535y2 = 0.00 + 7.07x + -7.07x + 3.535x2 + -3.535x2 + 7.07y + -7.07y + 3.535y2 + -3.535y2
4.93 + -3.07x + -3.535x2 + -4.07y + -3.535y2 = 7.07x + -7.07x + 3.535x2 + -3.535x2 + 7.07y + -7.07y + 3.535y2 + -3.535y2

Combine like terms: 7.07x + -7.07x = 0.00
4.93 + -3.07x + -3.535x2 + -4.07y + -3.535y2 = 0.00 + 3.535x2 + -3.535x2 + 7.07y + -7.07y + 3.535y2 + -3.535y2
4.93 + -3.07x + -3.535x2 + -4.07y + -3.535y2 = 3.535x2 + -3.535x2 + 7.07y + -7.07y + 3.535y2 + -3.535y2

Combine like terms: 3.535x2 + -3.535x2 = 0.000
4.93 + -3.07x + -3.535x2 + -4.07y + -3.535y2 = 0.000 + 7.07y + -7.07y + 3.535y2 + -3.535y2
4.93 + -3.07x + -3.535x2 + -4.07y + -3.535y2 = 7.07y + -7.07y + 3.535y2 + -3.535y2

Combine like terms: 7.07y + -7.07y = 0.00
4.93 + -3.07x + -3.535x2 + -4.07y + -3.535y2 = 0.00 + 3.535y2 + -3.535y2
4.93 + -3.07x + -3.535x2 + -4.07y + -3.535y2 = 3.535y2 + -3.535y2

Combine like terms: 3.535y2 + -3.535y2 = 0.000
4.93 + -3.07x + -3.535x2 + -4.07y + -3.535y2 = 0.000

The solution to this equation could not be determined.

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