(2x+1)(2x+3)(x-1)(x-2)=150

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Solution for (2x+1)(2x+3)(x-1)(x-2)=150 equation: 


Simplifying
(2x + 1)(2x + 3)(x + -1)(x + -2) = 150

Reorder the terms:
(1 + 2x)(2x + 3)(x + -1)(x + -2) = 150

Reorder the terms:
(1 + 2x)(3 + 2x)(x + -1)(x + -2) = 150

Reorder the terms:
(1 + 2x)(3 + 2x)(-1 + x)(x + -2) = 150

Reorder the terms:
(1 + 2x)(3 + 2x)(-1 + x)(-2 + x) = 150

Multiply (1 + 2x) * (3 + 2x)
(1(3 + 2x) + 2x * (3 + 2x))(-1 + x)(-2 + x) = 150
((3 * 1 + 2x * 1) + 2x * (3 + 2x))(-1 + x)(-2 + x) = 150
((3 + 2x) + 2x * (3 + 2x))(-1 + x)(-2 + x) = 150
(3 + 2x + (3 * 2x + 2x * 2x))(-1 + x)(-2 + x) = 150
(3 + 2x + (6x + 4x2))(-1 + x)(-2 + x) = 150

Combine like terms: 2x + 6x = 8x
(3 + 8x + 4x2)(-1 + x)(-2 + x) = 150

Multiply (3 + 8x + 4x2) * (-1 + x)
(3(-1 + x) + 8x * (-1 + x) + 4x2 * (-1 + x))(-2 + x) = 150
((-1 * 3 + x * 3) + 8x * (-1 + x) + 4x2 * (-1 + x))(-2 + x) = 150
((-3 + 3x) + 8x * (-1 + x) + 4x2 * (-1 + x))(-2 + x) = 150
(-3 + 3x + (-1 * 8x + x * 8x) + 4x2 * (-1 + x))(-2 + x) = 150
(-3 + 3x + (-8x + 8x2) + 4x2 * (-1 + x))(-2 + x) = 150
(-3 + 3x + -8x + 8x2 + (-1 * 4x2 + x * 4x2))(-2 + x) = 150
(-3 + 3x + -8x + 8x2 + (-4x2 + 4x3))(-2 + x) = 150

Combine like terms: 3x + -8x = -5x
(-3 + -5x + 8x2 + -4x2 + 4x3)(-2 + x) = 150

Combine like terms: 8x2 + -4x2 = 4x2
(-3 + -5x + 4x2 + 4x3)(-2 + x) = 150

Multiply (-3 + -5x + 4x2 + 4x3) * (-2 + x)
(-3(-2 + x) + -5x * (-2 + x) + 4x2 * (-2 + x) + 4x3 * (-2 + x)) = 150
((-2 * -3 + x * -3) + -5x * (-2 + x) + 4x2 * (-2 + x) + 4x3 * (-2 + x)) = 150
((6 + -3x) + -5x * (-2 + x) + 4x2 * (-2 + x) + 4x3 * (-2 + x)) = 150
(6 + -3x + (-2 * -5x + x * -5x) + 4x2 * (-2 + x) + 4x3 * (-2 + x)) = 150
(6 + -3x + (10x + -5x2) + 4x2 * (-2 + x) + 4x3 * (-2 + x)) = 150
(6 + -3x + 10x + -5x2 + (-2 * 4x2 + x * 4x2) + 4x3 * (-2 + x)) = 150
(6 + -3x + 10x + -5x2 + (-8x2 + 4x3) + 4x3 * (-2 + x)) = 150
(6 + -3x + 10x + -5x2 + -8x2 + 4x3 + (-2 * 4x3 + x * 4x3)) = 150
(6 + -3x + 10x + -5x2 + -8x2 + 4x3 + (-8x3 + 4x4)) = 150

Combine like terms: -3x + 10x = 7x
(6 + 7x + -5x2 + -8x2 + 4x3 + -8x3 + 4x4) = 150

Combine like terms: -5x2 + -8x2 = -13x2
(6 + 7x + -13x2 + 4x3 + -8x3 + 4x4) = 150

Combine like terms: 4x3 + -8x3 = -4x3
(6 + 7x + -13x2 + -4x3 + 4x4) = 150

Solving
6 + 7x + -13x2 + -4x3 + 4x4 = 150

Solving for variable 'x'.

Reorder the terms:
6 + -150 + 7x + -13x2 + -4x3 + 4x4 = 150 + -150

Combine like terms: 6 + -150 = -144
-144 + 7x + -13x2 + -4x3 + 4x4 = 150 + -150

Combine like terms: 150 + -150 = 0
-144 + 7x + -13x2 + -4x3 + 4x4 = 0

The solution to this equation could not be determined.

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