(2x+1)(2x+5)(x-1)(x-2)=150

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Solution for (2x+1)(2x+5)(x-1)(x-2)=150 equation: 


Simplifying
(2x + 1)(2x + 5)(x + -1)(x + -2) = 150

Reorder the terms:
(1 + 2x)(2x + 5)(x + -1)(x + -2) = 150

Reorder the terms:
(1 + 2x)(5 + 2x)(x + -1)(x + -2) = 150

Reorder the terms:
(1 + 2x)(5 + 2x)(-1 + x)(x + -2) = 150

Reorder the terms:
(1 + 2x)(5 + 2x)(-1 + x)(-2 + x) = 150

Multiply (1 + 2x) * (5 + 2x)
(1(5 + 2x) + 2x * (5 + 2x))(-1 + x)(-2 + x) = 150
((5 * 1 + 2x * 1) + 2x * (5 + 2x))(-1 + x)(-2 + x) = 150
((5 + 2x) + 2x * (5 + 2x))(-1 + x)(-2 + x) = 150
(5 + 2x + (5 * 2x + 2x * 2x))(-1 + x)(-2 + x) = 150
(5 + 2x + (10x + 4x2))(-1 + x)(-2 + x) = 150

Combine like terms: 2x + 10x = 12x
(5 + 12x + 4x2)(-1 + x)(-2 + x) = 150

Multiply (5 + 12x + 4x2) * (-1 + x)
(5(-1 + x) + 12x * (-1 + x) + 4x2 * (-1 + x))(-2 + x) = 150
((-1 * 5 + x * 5) + 12x * (-1 + x) + 4x2 * (-1 + x))(-2 + x) = 150
((-5 + 5x) + 12x * (-1 + x) + 4x2 * (-1 + x))(-2 + x) = 150
(-5 + 5x + (-1 * 12x + x * 12x) + 4x2 * (-1 + x))(-2 + x) = 150
(-5 + 5x + (-12x + 12x2) + 4x2 * (-1 + x))(-2 + x) = 150
(-5 + 5x + -12x + 12x2 + (-1 * 4x2 + x * 4x2))(-2 + x) = 150
(-5 + 5x + -12x + 12x2 + (-4x2 + 4x3))(-2 + x) = 150

Combine like terms: 5x + -12x = -7x
(-5 + -7x + 12x2 + -4x2 + 4x3)(-2 + x) = 150

Combine like terms: 12x2 + -4x2 = 8x2
(-5 + -7x + 8x2 + 4x3)(-2 + x) = 150

Multiply (-5 + -7x + 8x2 + 4x3) * (-2 + x)
(-5(-2 + x) + -7x * (-2 + x) + 8x2 * (-2 + x) + 4x3 * (-2 + x)) = 150
((-2 * -5 + x * -5) + -7x * (-2 + x) + 8x2 * (-2 + x) + 4x3 * (-2 + x)) = 150
((10 + -5x) + -7x * (-2 + x) + 8x2 * (-2 + x) + 4x3 * (-2 + x)) = 150
(10 + -5x + (-2 * -7x + x * -7x) + 8x2 * (-2 + x) + 4x3 * (-2 + x)) = 150
(10 + -5x + (14x + -7x2) + 8x2 * (-2 + x) + 4x3 * (-2 + x)) = 150
(10 + -5x + 14x + -7x2 + (-2 * 8x2 + x * 8x2) + 4x3 * (-2 + x)) = 150
(10 + -5x + 14x + -7x2 + (-16x2 + 8x3) + 4x3 * (-2 + x)) = 150
(10 + -5x + 14x + -7x2 + -16x2 + 8x3 + (-2 * 4x3 + x * 4x3)) = 150
(10 + -5x + 14x + -7x2 + -16x2 + 8x3 + (-8x3 + 4x4)) = 150

Combine like terms: -5x + 14x = 9x
(10 + 9x + -7x2 + -16x2 + 8x3 + -8x3 + 4x4) = 150

Combine like terms: -7x2 + -16x2 = -23x2
(10 + 9x + -23x2 + 8x3 + -8x3 + 4x4) = 150

Combine like terms: 8x3 + -8x3 = 0
(10 + 9x + -23x2 + 0 + 4x4) = 150
(10 + 9x + -23x2 + 4x4) = 150

Solving
10 + 9x + -23x2 + 4x4 = 150

Solving for variable 'x'.

Reorder the terms:
10 + -150 + 9x + -23x2 + 4x4 = 150 + -150

Combine like terms: 10 + -150 = -140
-140 + 9x + -23x2 + 4x4 = 150 + -150

Combine like terms: 150 + -150 = 0
-140 + 9x + -23x2 + 4x4 = 0

The solution to this equation could not be determined.

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