(x-1)(x-3)(x-5)(x+7)=297

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Solution for (x-1)(x-3)(x-5)(x+7)=297 equation: 


Simplifying
(x + -1)(x + -3)(x + -5)(x + 7) = 297

Reorder the terms:
(-1 + x)(x + -3)(x + -5)(x + 7) = 297

Reorder the terms:
(-1 + x)(-3 + x)(x + -5)(x + 7) = 297

Reorder the terms:
(-1 + x)(-3 + x)(-5 + x)(x + 7) = 297

Reorder the terms:
(-1 + x)(-3 + x)(-5 + x)(7 + x) = 297

Multiply (-1 + x) * (-3 + x)
(-1(-3 + x) + x(-3 + x))(-5 + x)(7 + x) = 297
((-3 * -1 + x * -1) + x(-3 + x))(-5 + x)(7 + x) = 297
((3 + -1x) + x(-3 + x))(-5 + x)(7 + x) = 297
(3 + -1x + (-3 * x + x * x))(-5 + x)(7 + x) = 297
(3 + -1x + (-3x + x2))(-5 + x)(7 + x) = 297

Combine like terms: -1x + -3x = -4x
(3 + -4x + x2)(-5 + x)(7 + x) = 297

Multiply (3 + -4x + x2) * (-5 + x)
(3(-5 + x) + -4x * (-5 + x) + x2(-5 + x))(7 + x) = 297
((-5 * 3 + x * 3) + -4x * (-5 + x) + x2(-5 + x))(7 + x) = 297
((-15 + 3x) + -4x * (-5 + x) + x2(-5 + x))(7 + x) = 297
(-15 + 3x + (-5 * -4x + x * -4x) + x2(-5 + x))(7 + x) = 297
(-15 + 3x + (20x + -4x2) + x2(-5 + x))(7 + x) = 297
(-15 + 3x + 20x + -4x2 + (-5 * x2 + x * x2))(7 + x) = 297
(-15 + 3x + 20x + -4x2 + (-5x2 + x3))(7 + x) = 297

Combine like terms: 3x + 20x = 23x
(-15 + 23x + -4x2 + -5x2 + x3)(7 + x) = 297

Combine like terms: -4x2 + -5x2 = -9x2
(-15 + 23x + -9x2 + x3)(7 + x) = 297

Multiply (-15 + 23x + -9x2 + x3) * (7 + x)
(-15(7 + x) + 23x * (7 + x) + -9x2 * (7 + x) + x3(7 + x)) = 297
((7 * -15 + x * -15) + 23x * (7 + x) + -9x2 * (7 + x) + x3(7 + x)) = 297
((-105 + -15x) + 23x * (7 + x) + -9x2 * (7 + x) + x3(7 + x)) = 297
(-105 + -15x + (7 * 23x + x * 23x) + -9x2 * (7 + x) + x3(7 + x)) = 297
(-105 + -15x + (161x + 23x2) + -9x2 * (7 + x) + x3(7 + x)) = 297
(-105 + -15x + 161x + 23x2 + (7 * -9x2 + x * -9x2) + x3(7 + x)) = 297
(-105 + -15x + 161x + 23x2 + (-63x2 + -9x3) + x3(7 + x)) = 297
(-105 + -15x + 161x + 23x2 + -63x2 + -9x3 + (7 * x3 + x * x3)) = 297
(-105 + -15x + 161x + 23x2 + -63x2 + -9x3 + (7x3 + x4)) = 297

Combine like terms: -15x + 161x = 146x
(-105 + 146x + 23x2 + -63x2 + -9x3 + 7x3 + x4) = 297

Combine like terms: 23x2 + -63x2 = -40x2
(-105 + 146x + -40x2 + -9x3 + 7x3 + x4) = 297

Combine like terms: -9x3 + 7x3 = -2x3
(-105 + 146x + -40x2 + -2x3 + x4) = 297

Solving
-105 + 146x + -40x2 + -2x3 + x4 = 297

Solving for variable 'x'.

Reorder the terms:
-105 + -297 + 146x + -40x2 + -2x3 + x4 = 297 + -297

Combine like terms: -105 + -297 = -402
-402 + 146x + -40x2 + -2x3 + x4 = 297 + -297

Combine like terms: 297 + -297 = 0
-402 + 146x + -40x2 + -2x3 + x4 = 0

The solution to this equation could not be determined.

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