x^2=(x^2-8)*(x-3)

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Solution for x^2=(x^2-8)*(x-3) equation:


Simplifying
x2 = (x2 + -8)(x + -3)

Reorder the terms:
x2 = (-8 + x2)(x + -3)

Reorder the terms:
x2 = (-8 + x2)(-3 + x)

Multiply (-8 + x2) * (-3 + x)
x2 = (-8(-3 + x) + x2(-3 + x))
x2 = ((-3 * -8 + x * -8) + x2(-3 + x))
x2 = ((24 + -8x) + x2(-3 + x))
x2 = (24 + -8x + (-3 * x2 + x * x2))
x2 = (24 + -8x + (-3x2 + x3))
x2 = (24 + -8x + -3x2 + x3)

Solving
x2 = 24 + -8x + -3x2 + x3

Solving for variable 'x'.

Reorder the terms:
-24 + 8x + x2 + 3x2 + -1x3 = 24 + -8x + -3x2 + x3 + -24 + 8x + 3x2 + -1x3

Combine like terms: x2 + 3x2 = 4x2
-24 + 8x + 4x2 + -1x3 = 24 + -8x + -3x2 + x3 + -24 + 8x + 3x2 + -1x3

Reorder the terms:
-24 + 8x + 4x2 + -1x3 = 24 + -24 + -8x + 8x + -3x2 + 3x2 + x3 + -1x3

Combine like terms: 24 + -24 = 0
-24 + 8x + 4x2 + -1x3 = 0 + -8x + 8x + -3x2 + 3x2 + x3 + -1x3
-24 + 8x + 4x2 + -1x3 = -8x + 8x + -3x2 + 3x2 + x3 + -1x3

Combine like terms: -8x + 8x = 0
-24 + 8x + 4x2 + -1x3 = 0 + -3x2 + 3x2 + x3 + -1x3
-24 + 8x + 4x2 + -1x3 = -3x2 + 3x2 + x3 + -1x3

Combine like terms: -3x2 + 3x2 = 0
-24 + 8x + 4x2 + -1x3 = 0 + x3 + -1x3
-24 + 8x + 4x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-24 + 8x + 4x2 + -1x3 = 0

The solution to this equation could not be determined.

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