(x-3)(x+4)(x+6)(x-2)=10x^2

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Solution for (x-3)(x+4)(x+6)(x-2)=10x^2 equation: 


Simplifying
(x + -3)(x + 4)(x + 6)(x + -2) = 10x2

Reorder the terms:
(-3 + x)(x + 4)(x + 6)(x + -2) = 10x2

Reorder the terms:
(-3 + x)(4 + x)(x + 6)(x + -2) = 10x2

Reorder the terms:
(-3 + x)(4 + x)(6 + x)(x + -2) = 10x2

Reorder the terms:
(-3 + x)(4 + x)(6 + x)(-2 + x) = 10x2

Multiply (-3 + x) * (4 + x)
(-3(4 + x) + x(4 + x))(6 + x)(-2 + x) = 10x2
((4 * -3 + x * -3) + x(4 + x))(6 + x)(-2 + x) = 10x2
((-12 + -3x) + x(4 + x))(6 + x)(-2 + x) = 10x2
(-12 + -3x + (4 * x + x * x))(6 + x)(-2 + x) = 10x2
(-12 + -3x + (4x + x2))(6 + x)(-2 + x) = 10x2

Combine like terms: -3x + 4x = 1x
(-12 + 1x + x2)(6 + x)(-2 + x) = 10x2

Multiply (-12 + 1x + x2) * (6 + x)
(-12(6 + x) + 1x * (6 + x) + x2(6 + x))(-2 + x) = 10x2
((6 * -12 + x * -12) + 1x * (6 + x) + x2(6 + x))(-2 + x) = 10x2
((-72 + -12x) + 1x * (6 + x) + x2(6 + x))(-2 + x) = 10x2
(-72 + -12x + (6 * 1x + x * 1x) + x2(6 + x))(-2 + x) = 10x2
(-72 + -12x + (6x + 1x2) + x2(6 + x))(-2 + x) = 10x2
(-72 + -12x + 6x + 1x2 + (6 * x2 + x * x2))(-2 + x) = 10x2
(-72 + -12x + 6x + 1x2 + (6x2 + x3))(-2 + x) = 10x2

Combine like terms: -12x + 6x = -6x
(-72 + -6x + 1x2 + 6x2 + x3)(-2 + x) = 10x2

Combine like terms: 1x2 + 6x2 = 7x2
(-72 + -6x + 7x2 + x3)(-2 + x) = 10x2

Multiply (-72 + -6x + 7x2 + x3) * (-2 + x)
(-72(-2 + x) + -6x * (-2 + x) + 7x2 * (-2 + x) + x3(-2 + x)) = 10x2
((-2 * -72 + x * -72) + -6x * (-2 + x) + 7x2 * (-2 + x) + x3(-2 + x)) = 10x2
((144 + -72x) + -6x * (-2 + x) + 7x2 * (-2 + x) + x3(-2 + x)) = 10x2
(144 + -72x + (-2 * -6x + x * -6x) + 7x2 * (-2 + x) + x3(-2 + x)) = 10x2
(144 + -72x + (12x + -6x2) + 7x2 * (-2 + x) + x3(-2 + x)) = 10x2
(144 + -72x + 12x + -6x2 + (-2 * 7x2 + x * 7x2) + x3(-2 + x)) = 10x2
(144 + -72x + 12x + -6x2 + (-14x2 + 7x3) + x3(-2 + x)) = 10x2
(144 + -72x + 12x + -6x2 + -14x2 + 7x3 + (-2 * x3 + x * x3)) = 10x2
(144 + -72x + 12x + -6x2 + -14x2 + 7x3 + (-2x3 + x4)) = 10x2

Combine like terms: -72x + 12x = -60x
(144 + -60x + -6x2 + -14x2 + 7x3 + -2x3 + x4) = 10x2

Combine like terms: -6x2 + -14x2 = -20x2
(144 + -60x + -20x2 + 7x3 + -2x3 + x4) = 10x2

Combine like terms: 7x3 + -2x3 = 5x3
(144 + -60x + -20x2 + 5x3 + x4) = 10x2

Solving
144 + -60x + -20x2 + 5x3 + x4 = 10x2

Solving for variable 'x'.

Reorder the terms:
144 + -60x + -20x2 + -10x2 + 5x3 + x4 = 10x2 + -10x2

Combine like terms: -20x2 + -10x2 = -30x2
144 + -60x + -30x2 + 5x3 + x4 = 10x2 + -10x2

Combine like terms: 10x2 + -10x2 = 0
144 + -60x + -30x2 + 5x3 + x4 = 0

The solution to this equation could not be determined.

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