Solve(x+1)(x+2)(x+3)(x+5)=144

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Solution for Solve(x+1)(x+2)(x+3)(x+5)=144 equation: 


Simplifying
Solve(x + 1)(x + 2)(x + 3)(x + 5) = 144

Reorder the terms:
elovS(1 + x)(x + 2)(x + 3)(x + 5) = 144

Reorder the terms:
elovS(1 + x)(2 + x)(x + 3)(x + 5) = 144

Reorder the terms:
elovS(1 + x)(2 + x)(3 + x)(x + 5) = 144

Reorder the terms:
elovS(1 + x)(2 + x)(3 + x)(5 + x) = 144

Multiply (1 + x) * (2 + x)
elovS(1(2 + x) + x(2 + x))(3 + x)(5 + x) = 144
elovS((2 * 1 + x * 1) + x(2 + x))(3 + x)(5 + x) = 144
elovS((2 + 1x) + x(2 + x))(3 + x)(5 + x) = 144
elovS(2 + 1x + (2 * x + x * x))(3 + x)(5 + x) = 144
elovS(2 + 1x + (2x + x2))(3 + x)(5 + x) = 144

Combine like terms: 1x + 2x = 3x
elovS(2 + 3x + x2)(3 + x)(5 + x) = 144

Multiply (2 + 3x + x2) * (3 + x)
elovS(2(3 + x) + 3x * (3 + x) + x2(3 + x))(5 + x) = 144
elovS((3 * 2 + x * 2) + 3x * (3 + x) + x2(3 + x))(5 + x) = 144
elovS((6 + 2x) + 3x * (3 + x) + x2(3 + x))(5 + x) = 144
elovS(6 + 2x + (3 * 3x + x * 3x) + x2(3 + x))(5 + x) = 144
elovS(6 + 2x + (9x + 3x2) + x2(3 + x))(5 + x) = 144
elovS(6 + 2x + 9x + 3x2 + (3 * x2 + x * x2))(5 + x) = 144
elovS(6 + 2x + 9x + 3x2 + (3x2 + x3))(5 + x) = 144

Combine like terms: 2x + 9x = 11x
elovS(6 + 11x + 3x2 + 3x2 + x3)(5 + x) = 144

Combine like terms: 3x2 + 3x2 = 6x2
elovS(6 + 11x + 6x2 + x3)(5 + x) = 144

Multiply (6 + 11x + 6x2 + x3) * (5 + x)
elovS(6(5 + x) + 11x * (5 + x) + 6x2 * (5 + x) + x3(5 + x)) = 144
elovS((5 * 6 + x * 6) + 11x * (5 + x) + 6x2 * (5 + x) + x3(5 + x)) = 144
elovS((30 + 6x) + 11x * (5 + x) + 6x2 * (5 + x) + x3(5 + x)) = 144
elovS(30 + 6x + (5 * 11x + x * 11x) + 6x2 * (5 + x) + x3(5 + x)) = 144
elovS(30 + 6x + (55x + 11x2) + 6x2 * (5 + x) + x3(5 + x)) = 144
elovS(30 + 6x + 55x + 11x2 + (5 * 6x2 + x * 6x2) + x3(5 + x)) = 144
elovS(30 + 6x + 55x + 11x2 + (30x2 + 6x3) + x3(5 + x)) = 144
elovS(30 + 6x + 55x + 11x2 + 30x2 + 6x3 + (5 * x3 + x * x3)) = 144
elovS(30 + 6x + 55x + 11x2 + 30x2 + 6x3 + (5x3 + x4)) = 144

Combine like terms: 6x + 55x = 61x
elovS(30 + 61x + 11x2 + 30x2 + 6x3 + 5x3 + x4) = 144

Combine like terms: 11x2 + 30x2 = 41x2
elovS(30 + 61x + 41x2 + 6x3 + 5x3 + x4) = 144

Combine like terms: 6x3 + 5x3 = 11x3
elovS(30 + 61x + 41x2 + 11x3 + x4) = 144
(30 * elovS + 61x * elovS + 41x2 * elovS + 11x3 * elovS + x4 * elovS) = 144
(30elovS + 61elovxS + 41elovx2S + 11elovx3S + elovx4S) = 144

Solving
30elovS + 61elovxS + 41elovx2S + 11elovx3S + elovx4S = 144

Solving for variable 'e'.

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

Reorder the terms:
-144 + 30elovS + 61elovxS + 41elovx2S + 11elovx3S + elovx4S = 144 + -144

Combine like terms: 144 + -144 = 0
-144 + 30elovS + 61elovxS + 41elovx2S + 11elovx3S + elovx4S = 0

The solution to this equation could not be determined.

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