X^2+3x-18=(x-3)(x+a)

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Solution for X^2+3x-18=(x-3)(x+a) equation: 


Simplifying
X2 + 3x + -18 = (x + -3)(x + a)

Reorder the terms:
-18 + X2 + 3x = (x + -3)(x + a)

Reorder the terms:
-18 + X2 + 3x = (-3 + x)(x + a)

Reorder the terms:
-18 + X2 + 3x = (-3 + x)(a + x)

Multiply (-3 + x) * (a + x)
-18 + X2 + 3x = (-3(a + x) + x(a + x))
-18 + X2 + 3x = ((a * -3 + x * -3) + x(a + x))
-18 + X2 + 3x = ((-3a + -3x) + x(a + x))
-18 + X2 + 3x = (-3a + -3x + (a * x + x * x))
-18 + X2 + 3x = (-3a + -3x + (ax + x2))

Reorder the terms:
-18 + X2 + 3x = (-3a + ax + -3x + x2)
-18 + X2 + 3x = (-3a + ax + -3x + x2)

Solving
-18 + X2 + 3x = -3a + ax + -3x + x2

Solving for variable 'X'.

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

Add '18' to each side of the equation.
-18 + X2 + 18 + 3x = -3a + ax + -3x + 18 + x2

Reorder the terms:
-18 + 18 + X2 + 3x = -3a + ax + -3x + 18 + x2

Combine like terms: -18 + 18 = 0
0 + X2 + 3x = -3a + ax + -3x + 18 + x2
X2 + 3x = -3a + ax + -3x + 18 + x2

Reorder the terms:
X2 + 3x = 18 + -3a + ax + -3x + x2

Add '-3x' to each side of the equation.
X2 + 3x + -3x = 18 + -3a + ax + -3x + -3x + x2

Combine like terms: 3x + -3x = 0
X2 + 0 = 18 + -3a + ax + -3x + -3x + x2
X2 = 18 + -3a + ax + -3x + -3x + x2

Combine like terms: -3x + -3x = -6x
X2 = 18 + -3a + ax + -6x + x2

Simplifying
X2 = 18 + -3a + ax + -6x + x2

Reorder the terms:
-18 + X2 + 3a + -1ax + 6x + -1x2 = 18 + -3a + ax + -6x + x2 + -18 + 3a + -1ax + 6x + -1x2

Reorder the terms:
-18 + X2 + 3a + -1ax + 6x + -1x2 = 18 + -18 + -3a + 3a + ax + -1ax + -6x + 6x + x2 + -1x2

Combine like terms: 18 + -18 = 0
-18 + X2 + 3a + -1ax + 6x + -1x2 = 0 + -3a + 3a + ax + -1ax + -6x + 6x + x2 + -1x2
-18 + X2 + 3a + -1ax + 6x + -1x2 = -3a + 3a + ax + -1ax + -6x + 6x + x2 + -1x2

Combine like terms: -3a + 3a = 0
-18 + X2 + 3a + -1ax + 6x + -1x2 = 0 + ax + -1ax + -6x + 6x + x2 + -1x2
-18 + X2 + 3a + -1ax + 6x + -1x2 = ax + -1ax + -6x + 6x + x2 + -1x2

Combine like terms: ax + -1ax = 0
-18 + X2 + 3a + -1ax + 6x + -1x2 = 0 + -6x + 6x + x2 + -1x2
-18 + X2 + 3a + -1ax + 6x + -1x2 = -6x + 6x + x2 + -1x2

Combine like terms: -6x + 6x = 0
-18 + X2 + 3a + -1ax + 6x + -1x2 = 0 + x2 + -1x2
-18 + X2 + 3a + -1ax + 6x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-18 + X2 + 3a + -1ax + 6x + -1x2 = 0

The solution to this equation could not be determined.

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