(2x+3)(2x+5)(x+1)(x+2)=30

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Solution for (2x+3)(2x+5)(x+1)(x+2)=30 equation: 


Simplifying
(2x + 3)(2x + 5)(x + 1)(x + 2) = 30

Reorder the terms:
(3 + 2x)(2x + 5)(x + 1)(x + 2) = 30

Reorder the terms:
(3 + 2x)(5 + 2x)(x + 1)(x + 2) = 30

Reorder the terms:
(3 + 2x)(5 + 2x)(1 + x)(x + 2) = 30

Reorder the terms:
(3 + 2x)(5 + 2x)(1 + x)(2 + x) = 30

Multiply (3 + 2x) * (5 + 2x)
(3(5 + 2x) + 2x * (5 + 2x))(1 + x)(2 + x) = 30
((5 * 3 + 2x * 3) + 2x * (5 + 2x))(1 + x)(2 + x) = 30
((15 + 6x) + 2x * (5 + 2x))(1 + x)(2 + x) = 30
(15 + 6x + (5 * 2x + 2x * 2x))(1 + x)(2 + x) = 30
(15 + 6x + (10x + 4x2))(1 + x)(2 + x) = 30

Combine like terms: 6x + 10x = 16x
(15 + 16x + 4x2)(1 + x)(2 + x) = 30

Multiply (15 + 16x + 4x2) * (1 + x)
(15(1 + x) + 16x * (1 + x) + 4x2 * (1 + x))(2 + x) = 30
((1 * 15 + x * 15) + 16x * (1 + x) + 4x2 * (1 + x))(2 + x) = 30
((15 + 15x) + 16x * (1 + x) + 4x2 * (1 + x))(2 + x) = 30
(15 + 15x + (1 * 16x + x * 16x) + 4x2 * (1 + x))(2 + x) = 30
(15 + 15x + (16x + 16x2) + 4x2 * (1 + x))(2 + x) = 30
(15 + 15x + 16x + 16x2 + (1 * 4x2 + x * 4x2))(2 + x) = 30
(15 + 15x + 16x + 16x2 + (4x2 + 4x3))(2 + x) = 30

Combine like terms: 15x + 16x = 31x
(15 + 31x + 16x2 + 4x2 + 4x3)(2 + x) = 30

Combine like terms: 16x2 + 4x2 = 20x2
(15 + 31x + 20x2 + 4x3)(2 + x) = 30

Multiply (15 + 31x + 20x2 + 4x3) * (2 + x)
(15(2 + x) + 31x * (2 + x) + 20x2 * (2 + x) + 4x3 * (2 + x)) = 30
((2 * 15 + x * 15) + 31x * (2 + x) + 20x2 * (2 + x) + 4x3 * (2 + x)) = 30
((30 + 15x) + 31x * (2 + x) + 20x2 * (2 + x) + 4x3 * (2 + x)) = 30
(30 + 15x + (2 * 31x + x * 31x) + 20x2 * (2 + x) + 4x3 * (2 + x)) = 30
(30 + 15x + (62x + 31x2) + 20x2 * (2 + x) + 4x3 * (2 + x)) = 30
(30 + 15x + 62x + 31x2 + (2 * 20x2 + x * 20x2) + 4x3 * (2 + x)) = 30
(30 + 15x + 62x + 31x2 + (40x2 + 20x3) + 4x3 * (2 + x)) = 30
(30 + 15x + 62x + 31x2 + 40x2 + 20x3 + (2 * 4x3 + x * 4x3)) = 30
(30 + 15x + 62x + 31x2 + 40x2 + 20x3 + (8x3 + 4x4)) = 30

Combine like terms: 15x + 62x = 77x
(30 + 77x + 31x2 + 40x2 + 20x3 + 8x3 + 4x4) = 30

Combine like terms: 31x2 + 40x2 = 71x2
(30 + 77x + 71x2 + 20x3 + 8x3 + 4x4) = 30

Combine like terms: 20x3 + 8x3 = 28x3
(30 + 77x + 71x2 + 28x3 + 4x4) = 30

Add '-30' to each side of the equation.
30 + 77x + 71x2 + 28x3 + -30 + 4x4 = 30 + -30

Reorder the terms:
30 + -30 + 77x + 71x2 + 28x3 + 4x4 = 30 + -30

Combine like terms: 30 + -30 = 0
0 + 77x + 71x2 + 28x3 + 4x4 = 30 + -30
77x + 71x2 + 28x3 + 4x4 = 30 + -30

Combine like terms: 30 + -30 = 0
77x + 71x2 + 28x3 + 4x4 = 0

Solving
77x + 71x2 + 28x3 + 4x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(77 + 71x + 28x2 + 4x3) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(77 + 71x + 28x2 + 4x3)' equal to zero and attempt to solve:

Simplifying
77 + 71x + 28x2 + 4x3 = 0

Solving
77 + 71x + 28x2 + 4x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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