(2x+3)(2x+5)(x-1)(x-2)=150

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Solution for (2x+3)(2x+5)(x-1)(x-2)=150 equation: 


Simplifying
(2x + 3)(2x + 5)(x + -1)(x + -2) = 150

Reorder the terms:
(3 + 2x)(2x + 5)(x + -1)(x + -2) = 150

Reorder the terms:
(3 + 2x)(5 + 2x)(x + -1)(x + -2) = 150

Reorder the terms:
(3 + 2x)(5 + 2x)(-1 + x)(x + -2) = 150

Reorder the terms:
(3 + 2x)(5 + 2x)(-1 + x)(-2 + x) = 150

Multiply (3 + 2x) * (5 + 2x)
(3(5 + 2x) + 2x * (5 + 2x))(-1 + x)(-2 + x) = 150
((5 * 3 + 2x * 3) + 2x * (5 + 2x))(-1 + x)(-2 + x) = 150
((15 + 6x) + 2x * (5 + 2x))(-1 + x)(-2 + x) = 150
(15 + 6x + (5 * 2x + 2x * 2x))(-1 + x)(-2 + x) = 150
(15 + 6x + (10x + 4x2))(-1 + x)(-2 + x) = 150

Combine like terms: 6x + 10x = 16x
(15 + 16x + 4x2)(-1 + x)(-2 + x) = 150

Multiply (15 + 16x + 4x2) * (-1 + x)
(15(-1 + x) + 16x * (-1 + x) + 4x2 * (-1 + x))(-2 + x) = 150
((-1 * 15 + x * 15) + 16x * (-1 + x) + 4x2 * (-1 + x))(-2 + x) = 150
((-15 + 15x) + 16x * (-1 + x) + 4x2 * (-1 + x))(-2 + x) = 150
(-15 + 15x + (-1 * 16x + x * 16x) + 4x2 * (-1 + x))(-2 + x) = 150
(-15 + 15x + (-16x + 16x2) + 4x2 * (-1 + x))(-2 + x) = 150
(-15 + 15x + -16x + 16x2 + (-1 * 4x2 + x * 4x2))(-2 + x) = 150
(-15 + 15x + -16x + 16x2 + (-4x2 + 4x3))(-2 + x) = 150

Combine like terms: 15x + -16x = -1x
(-15 + -1x + 16x2 + -4x2 + 4x3)(-2 + x) = 150

Combine like terms: 16x2 + -4x2 = 12x2
(-15 + -1x + 12x2 + 4x3)(-2 + x) = 150

Multiply (-15 + -1x + 12x2 + 4x3) * (-2 + x)
(-15(-2 + x) + -1x * (-2 + x) + 12x2 * (-2 + x) + 4x3 * (-2 + x)) = 150
((-2 * -15 + x * -15) + -1x * (-2 + x) + 12x2 * (-2 + x) + 4x3 * (-2 + x)) = 150
((30 + -15x) + -1x * (-2 + x) + 12x2 * (-2 + x) + 4x3 * (-2 + x)) = 150
(30 + -15x + (-2 * -1x + x * -1x) + 12x2 * (-2 + x) + 4x3 * (-2 + x)) = 150
(30 + -15x + (2x + -1x2) + 12x2 * (-2 + x) + 4x3 * (-2 + x)) = 150
(30 + -15x + 2x + -1x2 + (-2 * 12x2 + x * 12x2) + 4x3 * (-2 + x)) = 150
(30 + -15x + 2x + -1x2 + (-24x2 + 12x3) + 4x3 * (-2 + x)) = 150
(30 + -15x + 2x + -1x2 + -24x2 + 12x3 + (-2 * 4x3 + x * 4x3)) = 150
(30 + -15x + 2x + -1x2 + -24x2 + 12x3 + (-8x3 + 4x4)) = 150

Combine like terms: -15x + 2x = -13x
(30 + -13x + -1x2 + -24x2 + 12x3 + -8x3 + 4x4) = 150

Combine like terms: -1x2 + -24x2 = -25x2
(30 + -13x + -25x2 + 12x3 + -8x3 + 4x4) = 150

Combine like terms: 12x3 + -8x3 = 4x3
(30 + -13x + -25x2 + 4x3 + 4x4) = 150

Solving
30 + -13x + -25x2 + 4x3 + 4x4 = 150

Solving for variable 'x'.

Reorder the terms:
30 + -150 + -13x + -25x2 + 4x3 + 4x4 = 150 + -150

Combine like terms: 30 + -150 = -120
-120 + -13x + -25x2 + 4x3 + 4x4 = 150 + -150

Combine like terms: 150 + -150 = 0
-120 + -13x + -25x2 + 4x3 + 4x4 = 0

The solution to this equation could not be determined.

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