(x+3)(x+a)=xsquared-4x-21

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Solution for (x+3)(x+a)=xsquared-4x-21 equation: 


Simplifying
(x + 3)(x + a) = xsquared + -4x + -21

Reorder the terms:
(3 + x)(x + a) = xsquared + -4x + -21

Reorder the terms:
(3 + x)(a + x) = xsquared + -4x + -21

Multiply (3 + x) * (a + x)
(3(a + x) + x(a + x)) = xsquared + -4x + -21
((a * 3 + x * 3) + x(a + x)) = xsquared + -4x + -21
((3a + 3x) + x(a + x)) = xsquared + -4x + -21
(3a + 3x + (a * x + x * x)) = xsquared + -4x + -21
(3a + 3x + (ax + x2)) = xsquared + -4x + -21

Reorder the terms:
(3a + ax + 3x + x2) = xsquared + -4x + -21
(3a + ax + 3x + x2) = xsquared + -4x + -21

Reorder the terms:
3a + ax + 3x + x2 = -21 + adeqrsux + -4x

Solving
3a + ax + 3x + x2 = -21 + adeqrsux + -4x

Solving for variable 'a'.

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

Add '-1adeqrsux' to each side of the equation.
3a + ax + 3x + -1adeqrsux + x2 = -21 + adeqrsux + -1adeqrsux + -4x

Reorder the terms:
3a + -1adeqrsux + ax + 3x + x2 = -21 + adeqrsux + -1adeqrsux + -4x

Combine like terms: adeqrsux + -1adeqrsux = 0
3a + -1adeqrsux + ax + 3x + x2 = -21 + 0 + -4x
3a + -1adeqrsux + ax + 3x + x2 = -21 + -4x

Add '-3x' to each side of the equation.
3a + -1adeqrsux + ax + 3x + -3x + x2 = -21 + -4x + -3x

Combine like terms: 3x + -3x = 0
3a + -1adeqrsux + ax + 0 + x2 = -21 + -4x + -3x
3a + -1adeqrsux + ax + x2 = -21 + -4x + -3x

Combine like terms: -4x + -3x = -7x
3a + -1adeqrsux + ax + x2 = -21 + -7x

Add '-1x2' to each side of the equation.
3a + -1adeqrsux + ax + x2 + -1x2 = -21 + -7x + -1x2

Combine like terms: x2 + -1x2 = 0
3a + -1adeqrsux + ax + 0 = -21 + -7x + -1x2
3a + -1adeqrsux + ax = -21 + -7x + -1x2

Reorder the terms:
21 + 3a + -1adeqrsux + ax + 7x + x2 = -21 + -7x + -1x2 + 21 + 7x + x2

Reorder the terms:
21 + 3a + -1adeqrsux + ax + 7x + x2 = -21 + 21 + -7x + 7x + -1x2 + x2

Combine like terms: -21 + 21 = 0
21 + 3a + -1adeqrsux + ax + 7x + x2 = 0 + -7x + 7x + -1x2 + x2
21 + 3a + -1adeqrsux + ax + 7x + x2 = -7x + 7x + -1x2 + x2

Combine like terms: -7x + 7x = 0
21 + 3a + -1adeqrsux + ax + 7x + x2 = 0 + -1x2 + x2
21 + 3a + -1adeqrsux + ax + 7x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
21 + 3a + -1adeqrsux + ax + 7x + x2 = 0

The solution to this equation could not be determined.

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