X^2+3x-18=(x+g)(x+h)

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


Simplifying
X2 + 3x + -18 = (x + g)(x + h)

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

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

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

Multiply (g + x) * (h + x)
-18 + X2 + 3x = (g(h + x) + x(h + x))
-18 + X2 + 3x = ((h * g + x * g) + x(h + x))
-18 + X2 + 3x = ((gh + gx) + x(h + x))
-18 + X2 + 3x = (gh + gx + (h * x + x * x))
-18 + X2 + 3x = (gh + gx + (hx + x2))
-18 + X2 + 3x = (gh + gx + hx + x2)

Solving
-18 + X2 + 3x = gh + gx + hx + 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 = gh + gx + hx + 18 + x2

Reorder the terms:
-18 + 18 + X2 + 3x = gh + gx + hx + 18 + x2

Combine like terms: -18 + 18 = 0
0 + X2 + 3x = gh + gx + hx + 18 + x2
X2 + 3x = gh + gx + hx + 18 + x2

Reorder the terms:
X2 + 3x = 18 + gh + gx + hx + x2

Add '-3x' to each side of the equation.
X2 + 3x + -3x = 18 + gh + gx + hx + -3x + x2

Combine like terms: 3x + -3x = 0
X2 + 0 = 18 + gh + gx + hx + -3x + x2
X2 = 18 + gh + gx + hx + -3x + x2

Simplifying
X2 = 18 + gh + gx + hx + -3x + x2

Reorder the terms:
-18 + X2 + -1gh + -1gx + -1hx + 3x + -1x2 = 18 + gh + gx + hx + -3x + x2 + -18 + -1gh + -1gx + -1hx + 3x + -1x2

Reorder the terms:
-18 + X2 + -1gh + -1gx + -1hx + 3x + -1x2 = 18 + -18 + gh + -1gh + gx + -1gx + hx + -1hx + -3x + 3x + x2 + -1x2

Combine like terms: 18 + -18 = 0
-18 + X2 + -1gh + -1gx + -1hx + 3x + -1x2 = 0 + gh + -1gh + gx + -1gx + hx + -1hx + -3x + 3x + x2 + -1x2
-18 + X2 + -1gh + -1gx + -1hx + 3x + -1x2 = gh + -1gh + gx + -1gx + hx + -1hx + -3x + 3x + x2 + -1x2

Combine like terms: gh + -1gh = 0
-18 + X2 + -1gh + -1gx + -1hx + 3x + -1x2 = 0 + gx + -1gx + hx + -1hx + -3x + 3x + x2 + -1x2
-18 + X2 + -1gh + -1gx + -1hx + 3x + -1x2 = gx + -1gx + hx + -1hx + -3x + 3x + x2 + -1x2

Combine like terms: gx + -1gx = 0
-18 + X2 + -1gh + -1gx + -1hx + 3x + -1x2 = 0 + hx + -1hx + -3x + 3x + x2 + -1x2
-18 + X2 + -1gh + -1gx + -1hx + 3x + -1x2 = hx + -1hx + -3x + 3x + x2 + -1x2

Combine like terms: hx + -1hx = 0
-18 + X2 + -1gh + -1gx + -1hx + 3x + -1x2 = 0 + -3x + 3x + x2 + -1x2
-18 + X2 + -1gh + -1gx + -1hx + 3x + -1x2 = -3x + 3x + x2 + -1x2

Combine like terms: -3x + 3x = 0
-18 + X2 + -1gh + -1gx + -1hx + 3x + -1x2 = 0 + x2 + -1x2
-18 + X2 + -1gh + -1gx + -1hx + 3x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-18 + X2 + -1gh + -1gx + -1hx + 3x + -1x2 = 0

The solution to this equation could not be determined.

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