(x-2)(3x-2)(5x-2)(7x-2)=945

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Solution for (x-2)(3x-2)(5x-2)(7x-2)=945 equation: 


Simplifying
(x + -2)(3x + -2)(5x + -2)(7x + -2) = 945

Reorder the terms:
(-2 + x)(3x + -2)(5x + -2)(7x + -2) = 945

Reorder the terms:
(-2 + x)(-2 + 3x)(5x + -2)(7x + -2) = 945

Reorder the terms:
(-2 + x)(-2 + 3x)(-2 + 5x)(7x + -2) = 945

Reorder the terms:
(-2 + x)(-2 + 3x)(-2 + 5x)(-2 + 7x) = 945

Multiply (-2 + x) * (-2 + 3x)
(-2(-2 + 3x) + x(-2 + 3x))(-2 + 5x)(-2 + 7x) = 945
((-2 * -2 + 3x * -2) + x(-2 + 3x))(-2 + 5x)(-2 + 7x) = 945
((4 + -6x) + x(-2 + 3x))(-2 + 5x)(-2 + 7x) = 945
(4 + -6x + (-2 * x + 3x * x))(-2 + 5x)(-2 + 7x) = 945
(4 + -6x + (-2x + 3x2))(-2 + 5x)(-2 + 7x) = 945

Combine like terms: -6x + -2x = -8x
(4 + -8x + 3x2)(-2 + 5x)(-2 + 7x) = 945

Multiply (4 + -8x + 3x2) * (-2 + 5x)
(4(-2 + 5x) + -8x * (-2 + 5x) + 3x2 * (-2 + 5x))(-2 + 7x) = 945
((-2 * 4 + 5x * 4) + -8x * (-2 + 5x) + 3x2 * (-2 + 5x))(-2 + 7x) = 945
((-8 + 20x) + -8x * (-2 + 5x) + 3x2 * (-2 + 5x))(-2 + 7x) = 945
(-8 + 20x + (-2 * -8x + 5x * -8x) + 3x2 * (-2 + 5x))(-2 + 7x) = 945
(-8 + 20x + (16x + -40x2) + 3x2 * (-2 + 5x))(-2 + 7x) = 945
(-8 + 20x + 16x + -40x2 + (-2 * 3x2 + 5x * 3x2))(-2 + 7x) = 945
(-8 + 20x + 16x + -40x2 + (-6x2 + 15x3))(-2 + 7x) = 945

Combine like terms: 20x + 16x = 36x
(-8 + 36x + -40x2 + -6x2 + 15x3)(-2 + 7x) = 945

Combine like terms: -40x2 + -6x2 = -46x2
(-8 + 36x + -46x2 + 15x3)(-2 + 7x) = 945

Multiply (-8 + 36x + -46x2 + 15x3) * (-2 + 7x)
(-8(-2 + 7x) + 36x * (-2 + 7x) + -46x2 * (-2 + 7x) + 15x3 * (-2 + 7x)) = 945
((-2 * -8 + 7x * -8) + 36x * (-2 + 7x) + -46x2 * (-2 + 7x) + 15x3 * (-2 + 7x)) = 945
((16 + -56x) + 36x * (-2 + 7x) + -46x2 * (-2 + 7x) + 15x3 * (-2 + 7x)) = 945
(16 + -56x + (-2 * 36x + 7x * 36x) + -46x2 * (-2 + 7x) + 15x3 * (-2 + 7x)) = 945
(16 + -56x + (-72x + 252x2) + -46x2 * (-2 + 7x) + 15x3 * (-2 + 7x)) = 945
(16 + -56x + -72x + 252x2 + (-2 * -46x2 + 7x * -46x2) + 15x3 * (-2 + 7x)) = 945
(16 + -56x + -72x + 252x2 + (92x2 + -322x3) + 15x3 * (-2 + 7x)) = 945
(16 + -56x + -72x + 252x2 + 92x2 + -322x3 + (-2 * 15x3 + 7x * 15x3)) = 945
(16 + -56x + -72x + 252x2 + 92x2 + -322x3 + (-30x3 + 105x4)) = 945

Combine like terms: -56x + -72x = -128x
(16 + -128x + 252x2 + 92x2 + -322x3 + -30x3 + 105x4) = 945

Combine like terms: 252x2 + 92x2 = 344x2
(16 + -128x + 344x2 + -322x3 + -30x3 + 105x4) = 945

Combine like terms: -322x3 + -30x3 = -352x3
(16 + -128x + 344x2 + -352x3 + 105x4) = 945

Solving
16 + -128x + 344x2 + -352x3 + 105x4 = 945

Solving for variable 'x'.

Reorder the terms:
16 + -945 + -128x + 344x2 + -352x3 + 105x4 = 945 + -945

Combine like terms: 16 + -945 = -929
-929 + -128x + 344x2 + -352x3 + 105x4 = 945 + -945

Combine like terms: 945 + -945 = 0
-929 + -128x + 344x2 + -352x3 + 105x4 = 0

The solution to this equation could not be determined.

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