X^2+4+3y=(x-3)(x+5)

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Solution for X^2+4+3y=(x-3)(x+5) equation: 


Simplifying
X2 + 4 + 3y = (x + -3)(x + 5)

Reorder the terms:
4 + X2 + 3y = (x + -3)(x + 5)

Reorder the terms:
4 + X2 + 3y = (-3 + x)(x + 5)

Reorder the terms:
4 + X2 + 3y = (-3 + x)(5 + x)

Multiply (-3 + x) * (5 + x)
4 + X2 + 3y = (-3(5 + x) + x(5 + x))
4 + X2 + 3y = ((5 * -3 + x * -3) + x(5 + x))
4 + X2 + 3y = ((-15 + -3x) + x(5 + x))
4 + X2 + 3y = (-15 + -3x + (5 * x + x * x))
4 + X2 + 3y = (-15 + -3x + (5x + x2))

Combine like terms: -3x + 5x = 2x
4 + X2 + 3y = (-15 + 2x + x2)

Solving
4 + X2 + 3y = -15 + 2x + x2

Solving for variable 'X'.

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

Add '-4' to each side of the equation.
4 + X2 + -4 + 3y = -15 + 2x + -4 + x2

Reorder the terms:
4 + -4 + X2 + 3y = -15 + 2x + -4 + x2

Combine like terms: 4 + -4 = 0
0 + X2 + 3y = -15 + 2x + -4 + x2
X2 + 3y = -15 + 2x + -4 + x2

Reorder the terms:
X2 + 3y = -15 + -4 + 2x + x2

Combine like terms: -15 + -4 = -19
X2 + 3y = -19 + 2x + x2

Add '-3y' to each side of the equation.
X2 + 3y + -3y = -19 + 2x + x2 + -3y

Combine like terms: 3y + -3y = 0
X2 + 0 = -19 + 2x + x2 + -3y
X2 = -19 + 2x + x2 + -3y

Simplifying
X2 = -19 + 2x + x2 + -3y

Reorder the terms:
19 + X2 + -2x + -1x2 + 3y = -19 + 2x + x2 + -3y + 19 + -2x + -1x2 + 3y

Reorder the terms:
19 + X2 + -2x + -1x2 + 3y = -19 + 19 + 2x + -2x + x2 + -1x2 + -3y + 3y

Combine like terms: -19 + 19 = 0
19 + X2 + -2x + -1x2 + 3y = 0 + 2x + -2x + x2 + -1x2 + -3y + 3y
19 + X2 + -2x + -1x2 + 3y = 2x + -2x + x2 + -1x2 + -3y + 3y

Combine like terms: 2x + -2x = 0
19 + X2 + -2x + -1x2 + 3y = 0 + x2 + -1x2 + -3y + 3y
19 + X2 + -2x + -1x2 + 3y = x2 + -1x2 + -3y + 3y

Combine like terms: x2 + -1x2 = 0
19 + X2 + -2x + -1x2 + 3y = 0 + -3y + 3y
19 + X2 + -2x + -1x2 + 3y = -3y + 3y

Combine like terms: -3y + 3y = 0
19 + X2 + -2x + -1x2 + 3y = 0

The solution to this equation could not be determined.

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