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

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

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

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

Reorder the terms for easier multiplication:
x2(-3 + x) = (x + 6)(x + -6)
(-3 * x2 + x * x2) = (x + 6)(x + -6)
(-3x2 + x3) = (x + 6)(x + -6)

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

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

Multiply (6 + x) * (-6 + x)
-3x2 + x3 = (6(-6 + x) + x(-6 + x))
-3x2 + x3 = ((-6 * 6 + x * 6) + x(-6 + x))
-3x2 + x3 = ((-36 + 6x) + x(-6 + x))
-3x2 + x3 = (-36 + 6x + (-6 * x + x * x))
-3x2 + x3 = (-36 + 6x + (-6x + x2))

Combine like terms: 6x + -6x = 0
-3x2 + x3 = (-36 + 0 + x2)
-3x2 + x3 = (-36 + x2)

Solving
-3x2 + x3 = -36 + x2

Solving for variable 'x'.

Reorder the terms:
36 + -3x2 + -1x2 + x3 = -36 + x2 + 36 + -1x2

Combine like terms: -3x2 + -1x2 = -4x2
36 + -4x2 + x3 = -36 + x2 + 36 + -1x2

Reorder the terms:
36 + -4x2 + x3 = -36 + 36 + x2 + -1x2

Combine like terms: -36 + 36 = 0
36 + -4x2 + x3 = 0 + x2 + -1x2
36 + -4x2 + x3 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
36 + -4x2 + x3 = 0

The solution to this equation could not be determined.