(x-1)(x-3)(x+2)(x+6)=72x^2

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Solution for (x-1)(x-3)(x+2)(x+6)=72x^2 equation: 


Simplifying
(x + -1)(x + -3)(x + 2)(x + 6) = 72x2

Reorder the terms:
(-1 + x)(x + -3)(x + 2)(x + 6) = 72x2

Reorder the terms:
(-1 + x)(-3 + x)(x + 2)(x + 6) = 72x2

Reorder the terms:
(-1 + x)(-3 + x)(2 + x)(x + 6) = 72x2

Reorder the terms:
(-1 + x)(-3 + x)(2 + x)(6 + x) = 72x2

Multiply (-1 + x) * (-3 + x)
(-1(-3 + x) + x(-3 + x))(2 + x)(6 + x) = 72x2
((-3 * -1 + x * -1) + x(-3 + x))(2 + x)(6 + x) = 72x2
((3 + -1x) + x(-3 + x))(2 + x)(6 + x) = 72x2
(3 + -1x + (-3 * x + x * x))(2 + x)(6 + x) = 72x2
(3 + -1x + (-3x + x2))(2 + x)(6 + x) = 72x2

Combine like terms: -1x + -3x = -4x
(3 + -4x + x2)(2 + x)(6 + x) = 72x2

Multiply (3 + -4x + x2) * (2 + x)
(3(2 + x) + -4x * (2 + x) + x2(2 + x))(6 + x) = 72x2
((2 * 3 + x * 3) + -4x * (2 + x) + x2(2 + x))(6 + x) = 72x2
((6 + 3x) + -4x * (2 + x) + x2(2 + x))(6 + x) = 72x2
(6 + 3x + (2 * -4x + x * -4x) + x2(2 + x))(6 + x) = 72x2
(6 + 3x + (-8x + -4x2) + x2(2 + x))(6 + x) = 72x2
(6 + 3x + -8x + -4x2 + (2 * x2 + x * x2))(6 + x) = 72x2
(6 + 3x + -8x + -4x2 + (2x2 + x3))(6 + x) = 72x2

Combine like terms: 3x + -8x = -5x
(6 + -5x + -4x2 + 2x2 + x3)(6 + x) = 72x2

Combine like terms: -4x2 + 2x2 = -2x2
(6 + -5x + -2x2 + x3)(6 + x) = 72x2

Multiply (6 + -5x + -2x2 + x3) * (6 + x)
(6(6 + x) + -5x * (6 + x) + -2x2 * (6 + x) + x3(6 + x)) = 72x2
((6 * 6 + x * 6) + -5x * (6 + x) + -2x2 * (6 + x) + x3(6 + x)) = 72x2
((36 + 6x) + -5x * (6 + x) + -2x2 * (6 + x) + x3(6 + x)) = 72x2
(36 + 6x + (6 * -5x + x * -5x) + -2x2 * (6 + x) + x3(6 + x)) = 72x2
(36 + 6x + (-30x + -5x2) + -2x2 * (6 + x) + x3(6 + x)) = 72x2
(36 + 6x + -30x + -5x2 + (6 * -2x2 + x * -2x2) + x3(6 + x)) = 72x2
(36 + 6x + -30x + -5x2 + (-12x2 + -2x3) + x3(6 + x)) = 72x2
(36 + 6x + -30x + -5x2 + -12x2 + -2x3 + (6 * x3 + x * x3)) = 72x2
(36 + 6x + -30x + -5x2 + -12x2 + -2x3 + (6x3 + x4)) = 72x2

Combine like terms: 6x + -30x = -24x
(36 + -24x + -5x2 + -12x2 + -2x3 + 6x3 + x4) = 72x2

Combine like terms: -5x2 + -12x2 = -17x2
(36 + -24x + -17x2 + -2x3 + 6x3 + x4) = 72x2

Combine like terms: -2x3 + 6x3 = 4x3
(36 + -24x + -17x2 + 4x3 + x4) = 72x2

Solving
36 + -24x + -17x2 + 4x3 + x4 = 72x2

Solving for variable 'x'.

Reorder the terms:
36 + -24x + -17x2 + -72x2 + 4x3 + x4 = 72x2 + -72x2

Combine like terms: -17x2 + -72x2 = -89x2
36 + -24x + -89x2 + 4x3 + x4 = 72x2 + -72x2

Combine like terms: 72x2 + -72x2 = 0
36 + -24x + -89x2 + 4x3 + x4 = 0

The solution to this equation could not be determined.

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