(x-3)(2x+2)=(x-3)(x^2-6)

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Solution for (x-3)(2x+2)=(x-3)(x^2-6) equation:


Simplifying
(x + -3)(2x + 2) = (x + -3)(x2 + -6)

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

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

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

Combine like terms: -6x + 2x = -4x
(-6 + -4x + 2x2) = (x + -3)(x2 + -6)

Reorder the terms:
-6 + -4x + 2x2 = (-3 + x)(x2 + -6)

Reorder the terms:
-6 + -4x + 2x2 = (-3 + x)(-6 + x2)

Multiply (-3 + x) * (-6 + x2)
-6 + -4x + 2x2 = (-3(-6 + x2) + x(-6 + x2))
-6 + -4x + 2x2 = ((-6 * -3 + x2 * -3) + x(-6 + x2))
-6 + -4x + 2x2 = ((18 + -3x2) + x(-6 + x2))
-6 + -4x + 2x2 = (18 + -3x2 + (-6 * x + x2 * x))
-6 + -4x + 2x2 = (18 + -3x2 + (-6x + x3))

Reorder the terms:
-6 + -4x + 2x2 = (18 + -6x + -3x2 + x3)
-6 + -4x + 2x2 = (18 + -6x + -3x2 + x3)

Solving
-6 + -4x + 2x2 = 18 + -6x + -3x2 + x3

Solving for variable 'x'.

Reorder the terms:
-6 + -18 + -4x + 6x + 2x2 + 3x2 + -1x3 = 18 + -6x + -3x2 + x3 + -18 + 6x + 3x2 + -1x3

Combine like terms: -6 + -18 = -24
-24 + -4x + 6x + 2x2 + 3x2 + -1x3 = 18 + -6x + -3x2 + x3 + -18 + 6x + 3x2 + -1x3

Combine like terms: -4x + 6x = 2x
-24 + 2x + 2x2 + 3x2 + -1x3 = 18 + -6x + -3x2 + x3 + -18 + 6x + 3x2 + -1x3

Combine like terms: 2x2 + 3x2 = 5x2
-24 + 2x + 5x2 + -1x3 = 18 + -6x + -3x2 + x3 + -18 + 6x + 3x2 + -1x3

Reorder the terms:
-24 + 2x + 5x2 + -1x3 = 18 + -18 + -6x + 6x + -3x2 + 3x2 + x3 + -1x3

Combine like terms: 18 + -18 = 0
-24 + 2x + 5x2 + -1x3 = 0 + -6x + 6x + -3x2 + 3x2 + x3 + -1x3
-24 + 2x + 5x2 + -1x3 = -6x + 6x + -3x2 + 3x2 + x3 + -1x3

Combine like terms: -6x + 6x = 0
-24 + 2x + 5x2 + -1x3 = 0 + -3x2 + 3x2 + x3 + -1x3
-24 + 2x + 5x2 + -1x3 = -3x2 + 3x2 + x3 + -1x3

Combine like terms: -3x2 + 3x2 = 0
-24 + 2x + 5x2 + -1x3 = 0 + x3 + -1x3
-24 + 2x + 5x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-24 + 2x + 5x2 + -1x3 = 0

The solution to this equation could not be determined.

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