X^2-9x+20=(x-5)(x+4)

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Solution for X^2-9x+20=(x-5)(x+4) equation: 


Simplifying
X2 + -9x + 20 = (x + -5)(x + 4)

Reorder the terms:
20 + X2 + -9x = (x + -5)(x + 4)

Reorder the terms:
20 + X2 + -9x = (-5 + x)(x + 4)

Reorder the terms:
20 + X2 + -9x = (-5 + x)(4 + x)

Multiply (-5 + x) * (4 + x)
20 + X2 + -9x = (-5(4 + x) + x(4 + x))
20 + X2 + -9x = ((4 * -5 + x * -5) + x(4 + x))
20 + X2 + -9x = ((-20 + -5x) + x(4 + x))
20 + X2 + -9x = (-20 + -5x + (4 * x + x * x))
20 + X2 + -9x = (-20 + -5x + (4x + x2))

Combine like terms: -5x + 4x = -1x
20 + X2 + -9x = (-20 + -1x + x2)

Solving
20 + X2 + -9x = -20 + -1x + x2

Solving for variable 'X'.

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

Add '-20' to each side of the equation.
20 + X2 + -20 + -9x = -20 + -1x + -20 + x2

Reorder the terms:
20 + -20 + X2 + -9x = -20 + -1x + -20 + x2

Combine like terms: 20 + -20 = 0
0 + X2 + -9x = -20 + -1x + -20 + x2
X2 + -9x = -20 + -1x + -20 + x2

Reorder the terms:
X2 + -9x = -20 + -20 + -1x + x2

Combine like terms: -20 + -20 = -40
X2 + -9x = -40 + -1x + x2

Add '9x' to each side of the equation.
X2 + -9x + 9x = -40 + -1x + 9x + x2

Combine like terms: -9x + 9x = 0
X2 + 0 = -40 + -1x + 9x + x2
X2 = -40 + -1x + 9x + x2

Combine like terms: -1x + 9x = 8x
X2 = -40 + 8x + x2

Simplifying
X2 = -40 + 8x + x2

Reorder the terms:
40 + X2 + -8x + -1x2 = -40 + 8x + x2 + 40 + -8x + -1x2

Reorder the terms:
40 + X2 + -8x + -1x2 = -40 + 40 + 8x + -8x + x2 + -1x2

Combine like terms: -40 + 40 = 0
40 + X2 + -8x + -1x2 = 0 + 8x + -8x + x2 + -1x2
40 + X2 + -8x + -1x2 = 8x + -8x + x2 + -1x2

Combine like terms: 8x + -8x = 0
40 + X2 + -8x + -1x2 = 0 + x2 + -1x2
40 + X2 + -8x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
40 + X2 + -8x + -1x2 = 0

The solution to this equation could not be determined.

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