(X-3)(x+4)=x^2-5x+20

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Solution for (X-3)(x+4)=x^2-5x+20 equation: 


Simplifying
(X + -3)(x + 4) = x2 + -5x + 20

Reorder the terms:
(-3 + X)(x + 4) = x2 + -5x + 20

Reorder the terms:
(-3 + X)(4 + x) = x2 + -5x + 20

Multiply (-3 + X) * (4 + x)
(-3(4 + x) + X(4 + x)) = x2 + -5x + 20
((4 * -3 + x * -3) + X(4 + x)) = x2 + -5x + 20
((-12 + -3x) + X(4 + x)) = x2 + -5x + 20
(-12 + -3x + (4 * X + x * X)) = x2 + -5x + 20
(-12 + -3x + (4X + xX)) = x2 + -5x + 20

Reorder the terms:
(-12 + 4X + -3x + xX) = x2 + -5x + 20
(-12 + 4X + -3x + xX) = x2 + -5x + 20

Reorder the terms:
-12 + 4X + -3x + xX = 20 + -5x + x2

Solving
-12 + 4X + -3x + xX = 20 + -5x + x2

Solving for variable 'X'.

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

Add '12' to each side of the equation.
-12 + 4X + -3x + 12 + xX = 20 + -5x + 12 + x2

Reorder the terms:
-12 + 12 + 4X + -3x + xX = 20 + -5x + 12 + x2

Combine like terms: -12 + 12 = 0
0 + 4X + -3x + xX = 20 + -5x + 12 + x2
4X + -3x + xX = 20 + -5x + 12 + x2

Reorder the terms:
4X + -3x + xX = 20 + 12 + -5x + x2

Combine like terms: 20 + 12 = 32
4X + -3x + xX = 32 + -5x + x2

Add '3x' to each side of the equation.
4X + -3x + 3x + xX = 32 + -5x + 3x + x2

Combine like terms: -3x + 3x = 0
4X + 0 + xX = 32 + -5x + 3x + x2
4X + xX = 32 + -5x + 3x + x2

Combine like terms: -5x + 3x = -2x
4X + xX = 32 + -2x + x2

Reorder the terms:
-32 + 4X + 2x + xX + -1x2 = 32 + -2x + x2 + -32 + 2x + -1x2

Reorder the terms:
-32 + 4X + 2x + xX + -1x2 = 32 + -32 + -2x + 2x + x2 + -1x2

Combine like terms: 32 + -32 = 0
-32 + 4X + 2x + xX + -1x2 = 0 + -2x + 2x + x2 + -1x2
-32 + 4X + 2x + xX + -1x2 = -2x + 2x + x2 + -1x2

Combine like terms: -2x + 2x = 0
-32 + 4X + 2x + xX + -1x2 = 0 + x2 + -1x2
-32 + 4X + 2x + xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-32 + 4X + 2x + xX + -1x2 = 0

The solution to this equation could not be determined.

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