(x+a)(x+3)=x^2-2a-15

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Solution for (x+a)(x+3)=x^2-2a-15 equation: 


Simplifying
(x + a)(x + 3) = x2 + -2a + -15

Reorder the terms:
(a + x)(x + 3) = x2 + -2a + -15

Reorder the terms:
(a + x)(3 + x) = x2 + -2a + -15

Multiply (a + x) * (3 + x)
(a(3 + x) + x(3 + x)) = x2 + -2a + -15
((3 * a + x * a) + x(3 + x)) = x2 + -2a + -15
((3a + ax) + x(3 + x)) = x2 + -2a + -15
(3a + ax + (3 * x + x * x)) = x2 + -2a + -15
(3a + ax + (3x + x2)) = x2 + -2a + -15
(3a + ax + 3x + x2) = x2 + -2a + -15

Reorder the terms:
3a + ax + 3x + x2 = -15 + -2a + x2

Add '-1x2' to each side of the equation.
3a + ax + 3x + x2 + -1x2 = -15 + -2a + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
3a + ax + 3x + 0 = -15 + -2a + x2 + -1x2
3a + ax + 3x = -15 + -2a + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
3a + ax + 3x = -15 + -2a + 0
3a + ax + 3x = -15 + -2a

Solving
3a + ax + 3x = -15 + -2a

Solving for variable 'a'.

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

Add '2a' to each side of the equation.
3a + ax + 2a + 3x = -15 + -2a + 2a

Reorder the terms:
3a + 2a + ax + 3x = -15 + -2a + 2a

Combine like terms: 3a + 2a = 5a
5a + ax + 3x = -15 + -2a + 2a

Combine like terms: -2a + 2a = 0
5a + ax + 3x = -15 + 0
5a + ax + 3x = -15

Add '-3x' to each side of the equation.
5a + ax + 3x + -3x = -15 + -3x

Combine like terms: 3x + -3x = 0
5a + ax + 0 = -15 + -3x
5a + ax = -15 + -3x

Reorder the terms:
15 + 5a + ax + 3x = -15 + -3x + 15 + 3x

Reorder the terms:
15 + 5a + ax + 3x = -15 + 15 + -3x + 3x

Combine like terms: -15 + 15 = 0
15 + 5a + ax + 3x = 0 + -3x + 3x
15 + 5a + ax + 3x = -3x + 3x

Combine like terms: -3x + 3x = 0
15 + 5a + ax + 3x = 0

The solution to this equation could not be determined.

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