(2x-1)(x+5)(2x-1)(x-2)=0

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Solution for (2x-1)(x+5)(2x-1)(x-2)=0 equation: 


Simplifying
(2x + -1)(x + 5)(2x + -1)(x + -2) = 0

Reorder the terms:
(-1 + 2x)(x + 5)(2x + -1)(x + -2) = 0

Reorder the terms:
(-1 + 2x)(5 + x)(2x + -1)(x + -2) = 0

Reorder the terms:
(-1 + 2x)(5 + x)(-1 + 2x)(x + -2) = 0

Reorder the terms:
(-1 + 2x)(5 + x)(-1 + 2x)(-2 + x) = 0

Multiply (-1 + 2x) * (5 + x)
(-1(5 + x) + 2x * (5 + x))(-1 + 2x)(-2 + x) = 0
((5 * -1 + x * -1) + 2x * (5 + x))(-1 + 2x)(-2 + x) = 0
((-5 + -1x) + 2x * (5 + x))(-1 + 2x)(-2 + x) = 0
(-5 + -1x + (5 * 2x + x * 2x))(-1 + 2x)(-2 + x) = 0
(-5 + -1x + (10x + 2x2))(-1 + 2x)(-2 + x) = 0

Combine like terms: -1x + 10x = 9x
(-5 + 9x + 2x2)(-1 + 2x)(-2 + x) = 0

Multiply (-5 + 9x + 2x2) * (-1 + 2x)
(-5(-1 + 2x) + 9x * (-1 + 2x) + 2x2 * (-1 + 2x))(-2 + x) = 0
((-1 * -5 + 2x * -5) + 9x * (-1 + 2x) + 2x2 * (-1 + 2x))(-2 + x) = 0
((5 + -10x) + 9x * (-1 + 2x) + 2x2 * (-1 + 2x))(-2 + x) = 0
(5 + -10x + (-1 * 9x + 2x * 9x) + 2x2 * (-1 + 2x))(-2 + x) = 0
(5 + -10x + (-9x + 18x2) + 2x2 * (-1 + 2x))(-2 + x) = 0
(5 + -10x + -9x + 18x2 + (-1 * 2x2 + 2x * 2x2))(-2 + x) = 0
(5 + -10x + -9x + 18x2 + (-2x2 + 4x3))(-2 + x) = 0

Combine like terms: -10x + -9x = -19x
(5 + -19x + 18x2 + -2x2 + 4x3)(-2 + x) = 0

Combine like terms: 18x2 + -2x2 = 16x2
(5 + -19x + 16x2 + 4x3)(-2 + x) = 0

Multiply (5 + -19x + 16x2 + 4x3) * (-2 + x)
(5(-2 + x) + -19x * (-2 + x) + 16x2 * (-2 + x) + 4x3 * (-2 + x)) = 0
((-2 * 5 + x * 5) + -19x * (-2 + x) + 16x2 * (-2 + x) + 4x3 * (-2 + x)) = 0
((-10 + 5x) + -19x * (-2 + x) + 16x2 * (-2 + x) + 4x3 * (-2 + x)) = 0
(-10 + 5x + (-2 * -19x + x * -19x) + 16x2 * (-2 + x) + 4x3 * (-2 + x)) = 0
(-10 + 5x + (38x + -19x2) + 16x2 * (-2 + x) + 4x3 * (-2 + x)) = 0
(-10 + 5x + 38x + -19x2 + (-2 * 16x2 + x * 16x2) + 4x3 * (-2 + x)) = 0
(-10 + 5x + 38x + -19x2 + (-32x2 + 16x3) + 4x3 * (-2 + x)) = 0
(-10 + 5x + 38x + -19x2 + -32x2 + 16x3 + (-2 * 4x3 + x * 4x3)) = 0
(-10 + 5x + 38x + -19x2 + -32x2 + 16x3 + (-8x3 + 4x4)) = 0

Combine like terms: 5x + 38x = 43x
(-10 + 43x + -19x2 + -32x2 + 16x3 + -8x3 + 4x4) = 0

Combine like terms: -19x2 + -32x2 = -51x2
(-10 + 43x + -51x2 + 16x3 + -8x3 + 4x4) = 0

Combine like terms: 16x3 + -8x3 = 8x3
(-10 + 43x + -51x2 + 8x3 + 4x4) = 0

Solving
-10 + 43x + -51x2 + 8x3 + 4x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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