(X-3)(x+7)=(x-3)(2x+1)

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Solution for (X-3)(x+7)=(x-3)(2x+1) equation: 


Simplifying
(X + -3)(x + 7) = (x + -3)(2x + 1)

Reorder the terms:
(-3 + X)(x + 7) = (x + -3)(2x + 1)

Reorder the terms:
(-3 + X)(7 + x) = (x + -3)(2x + 1)

Multiply (-3 + X) * (7 + x)
(-3(7 + x) + X(7 + x)) = (x + -3)(2x + 1)
((7 * -3 + x * -3) + X(7 + x)) = (x + -3)(2x + 1)
((-21 + -3x) + X(7 + x)) = (x + -3)(2x + 1)
(-21 + -3x + (7 * X + x * X)) = (x + -3)(2x + 1)
(-21 + -3x + (7X + xX)) = (x + -3)(2x + 1)

Reorder the terms:
(-21 + 7X + -3x + xX) = (x + -3)(2x + 1)
(-21 + 7X + -3x + xX) = (x + -3)(2x + 1)

Reorder the terms:
-21 + 7X + -3x + xX = (-3 + x)(2x + 1)

Reorder the terms:
-21 + 7X + -3x + xX = (-3 + x)(1 + 2x)

Multiply (-3 + x) * (1 + 2x)
-21 + 7X + -3x + xX = (-3(1 + 2x) + x(1 + 2x))
-21 + 7X + -3x + xX = ((1 * -3 + 2x * -3) + x(1 + 2x))
-21 + 7X + -3x + xX = ((-3 + -6x) + x(1 + 2x))
-21 + 7X + -3x + xX = (-3 + -6x + (1 * x + 2x * x))
-21 + 7X + -3x + xX = (-3 + -6x + (1x + 2x2))

Combine like terms: -6x + 1x = -5x
-21 + 7X + -3x + xX = (-3 + -5x + 2x2)

Solving
-21 + 7X + -3x + xX = -3 + -5x + 2x2

Solving for variable 'X'.

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

Add '21' to each side of the equation.
-21 + 7X + -3x + 21 + xX = -3 + -5x + 21 + 2x2

Reorder the terms:
-21 + 21 + 7X + -3x + xX = -3 + -5x + 21 + 2x2

Combine like terms: -21 + 21 = 0
0 + 7X + -3x + xX = -3 + -5x + 21 + 2x2
7X + -3x + xX = -3 + -5x + 21 + 2x2

Reorder the terms:
7X + -3x + xX = -3 + 21 + -5x + 2x2

Combine like terms: -3 + 21 = 18
7X + -3x + xX = 18 + -5x + 2x2

Add '3x' to each side of the equation.
7X + -3x + 3x + xX = 18 + -5x + 3x + 2x2

Combine like terms: -3x + 3x = 0
7X + 0 + xX = 18 + -5x + 3x + 2x2
7X + xX = 18 + -5x + 3x + 2x2

Combine like terms: -5x + 3x = -2x
7X + xX = 18 + -2x + 2x2

Reorder the terms:
-18 + 7X + 2x + xX + -2x2 = 18 + -2x + 2x2 + -18 + 2x + -2x2

Reorder the terms:
-18 + 7X + 2x + xX + -2x2 = 18 + -18 + -2x + 2x + 2x2 + -2x2

Combine like terms: 18 + -18 = 0
-18 + 7X + 2x + xX + -2x2 = 0 + -2x + 2x + 2x2 + -2x2
-18 + 7X + 2x + xX + -2x2 = -2x + 2x + 2x2 + -2x2

Combine like terms: -2x + 2x = 0
-18 + 7X + 2x + xX + -2x2 = 0 + 2x2 + -2x2
-18 + 7X + 2x + xX + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-18 + 7X + 2x + xX + -2x2 = 0

The solution to this equation could not be determined.

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