(x-3)(x-5)(x-6)(x-10)=24x^2

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Solution for (x-3)(x-5)(x-6)(x-10)=24x^2 equation: 


Simplifying
(x + -3)(x + -5)(x + -6)(x + -10) = 24x2

Reorder the terms:
(-3 + x)(x + -5)(x + -6)(x + -10) = 24x2

Reorder the terms:
(-3 + x)(-5 + x)(x + -6)(x + -10) = 24x2

Reorder the terms:
(-3 + x)(-5 + x)(-6 + x)(x + -10) = 24x2

Reorder the terms:
(-3 + x)(-5 + x)(-6 + x)(-10 + x) = 24x2

Multiply (-3 + x) * (-5 + x)
(-3(-5 + x) + x(-5 + x))(-6 + x)(-10 + x) = 24x2
((-5 * -3 + x * -3) + x(-5 + x))(-6 + x)(-10 + x) = 24x2
((15 + -3x) + x(-5 + x))(-6 + x)(-10 + x) = 24x2
(15 + -3x + (-5 * x + x * x))(-6 + x)(-10 + x) = 24x2
(15 + -3x + (-5x + x2))(-6 + x)(-10 + x) = 24x2

Combine like terms: -3x + -5x = -8x
(15 + -8x + x2)(-6 + x)(-10 + x) = 24x2

Multiply (15 + -8x + x2) * (-6 + x)
(15(-6 + x) + -8x * (-6 + x) + x2(-6 + x))(-10 + x) = 24x2
((-6 * 15 + x * 15) + -8x * (-6 + x) + x2(-6 + x))(-10 + x) = 24x2
((-90 + 15x) + -8x * (-6 + x) + x2(-6 + x))(-10 + x) = 24x2
(-90 + 15x + (-6 * -8x + x * -8x) + x2(-6 + x))(-10 + x) = 24x2
(-90 + 15x + (48x + -8x2) + x2(-6 + x))(-10 + x) = 24x2
(-90 + 15x + 48x + -8x2 + (-6 * x2 + x * x2))(-10 + x) = 24x2
(-90 + 15x + 48x + -8x2 + (-6x2 + x3))(-10 + x) = 24x2

Combine like terms: 15x + 48x = 63x
(-90 + 63x + -8x2 + -6x2 + x3)(-10 + x) = 24x2

Combine like terms: -8x2 + -6x2 = -14x2
(-90 + 63x + -14x2 + x3)(-10 + x) = 24x2

Multiply (-90 + 63x + -14x2 + x3) * (-10 + x)
(-90(-10 + x) + 63x * (-10 + x) + -14x2 * (-10 + x) + x3(-10 + x)) = 24x2
((-10 * -90 + x * -90) + 63x * (-10 + x) + -14x2 * (-10 + x) + x3(-10 + x)) = 24x2
((900 + -90x) + 63x * (-10 + x) + -14x2 * (-10 + x) + x3(-10 + x)) = 24x2
(900 + -90x + (-10 * 63x + x * 63x) + -14x2 * (-10 + x) + x3(-10 + x)) = 24x2
(900 + -90x + (-630x + 63x2) + -14x2 * (-10 + x) + x3(-10 + x)) = 24x2
(900 + -90x + -630x + 63x2 + (-10 * -14x2 + x * -14x2) + x3(-10 + x)) = 24x2
(900 + -90x + -630x + 63x2 + (140x2 + -14x3) + x3(-10 + x)) = 24x2
(900 + -90x + -630x + 63x2 + 140x2 + -14x3 + (-10 * x3 + x * x3)) = 24x2
(900 + -90x + -630x + 63x2 + 140x2 + -14x3 + (-10x3 + x4)) = 24x2

Combine like terms: -90x + -630x = -720x
(900 + -720x + 63x2 + 140x2 + -14x3 + -10x3 + x4) = 24x2

Combine like terms: 63x2 + 140x2 = 203x2
(900 + -720x + 203x2 + -14x3 + -10x3 + x4) = 24x2

Combine like terms: -14x3 + -10x3 = -24x3
(900 + -720x + 203x2 + -24x3 + x4) = 24x2

Solving
900 + -720x + 203x2 + -24x3 + x4 = 24x2

Solving for variable 'x'.

Reorder the terms:
900 + -720x + 203x2 + -24x2 + -24x3 + x4 = 24x2 + -24x2

Combine like terms: 203x2 + -24x2 = 179x2
900 + -720x + 179x2 + -24x3 + x4 = 24x2 + -24x2

Combine like terms: 24x2 + -24x2 = 0
900 + -720x + 179x2 + -24x3 + x4 = 0

The solution to this equation could not be determined.

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