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

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


Simplifying
(X + -3)(x + 2) = x2 + -7

Reorder the terms:
(-3 + X)(x + 2) = x2 + -7

Reorder the terms:
(-3 + X)(2 + x) = x2 + -7

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

Reorder the terms:
(-6 + 2X + -3x + xX) = x2 + -7
(-6 + 2X + -3x + xX) = x2 + -7

Reorder the terms:
-6 + 2X + -3x + xX = -7 + x2

Solving
-6 + 2X + -3x + xX = -7 + x2

Solving for variable 'X'.

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

Add '6' to each side of the equation.
-6 + 2X + -3x + 6 + xX = -7 + 6 + x2

Reorder the terms:
-6 + 6 + 2X + -3x + xX = -7 + 6 + x2

Combine like terms: -6 + 6 = 0
0 + 2X + -3x + xX = -7 + 6 + x2
2X + -3x + xX = -7 + 6 + x2

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

Add '3x' to each side of the equation.
2X + -3x + 3x + xX = -1 + 3x + x2

Combine like terms: -3x + 3x = 0
2X + 0 + xX = -1 + 3x + x2
2X + xX = -1 + 3x + x2

Reorder the terms:
1 + 2X + -3x + xX + -1x2 = -1 + 3x + x2 + 1 + -3x + -1x2

Reorder the terms:
1 + 2X + -3x + xX + -1x2 = -1 + 1 + 3x + -3x + x2 + -1x2

Combine like terms: -1 + 1 = 0
1 + 2X + -3x + xX + -1x2 = 0 + 3x + -3x + x2 + -1x2
1 + 2X + -3x + xX + -1x2 = 3x + -3x + x2 + -1x2

Combine like terms: 3x + -3x = 0
1 + 2X + -3x + xX + -1x2 = 0 + x2 + -1x2
1 + 2X + -3x + xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
1 + 2X + -3x + xX + -1x2 = 0

The solution to this equation could not be determined.

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