(2.5x+15)(2x+12)(x^2+12x+4)=720

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Solution for (2.5x+15)(2x+12)(x^2+12x+4)=720 equation: 


Simplifying
(2.5x + 15)(2x + 12)(x2 + 12x + 4) = 720

Reorder the terms:
(15 + 2.5x)(2x + 12)(x2 + 12x + 4) = 720

Reorder the terms:
(15 + 2.5x)(12 + 2x)(x2 + 12x + 4) = 720

Reorder the terms:
(15 + 2.5x)(12 + 2x)(4 + 12x + x2) = 720

Multiply (15 + 2.5x) * (12 + 2x)
(15(12 + 2x) + 2.5x * (12 + 2x))(4 + 12x + x2) = 720
((12 * 15 + 2x * 15) + 2.5x * (12 + 2x))(4 + 12x + x2) = 720
((180 + 30x) + 2.5x * (12 + 2x))(4 + 12x + x2) = 720
(180 + 30x + (12 * 2.5x + 2x * 2.5x))(4 + 12x + x2) = 720
(180 + 30x + (30x + 5x2))(4 + 12x + x2) = 720

Combine like terms: 30x + 30x = 60x
(180 + 60x + 5x2)(4 + 12x + x2) = 720

Multiply (180 + 60x + 5x2) * (4 + 12x + x2)
(180(4 + 12x + x2) + 60x * (4 + 12x + x2) + 5x2 * (4 + 12x + x2)) = 720
((4 * 180 + 12x * 180 + x2 * 180) + 60x * (4 + 12x + x2) + 5x2 * (4 + 12x + x2)) = 720
((720 + 2160x + 180x2) + 60x * (4 + 12x + x2) + 5x2 * (4 + 12x + x2)) = 720
(720 + 2160x + 180x2 + (4 * 60x + 12x * 60x + x2 * 60x) + 5x2 * (4 + 12x + x2)) = 720
(720 + 2160x + 180x2 + (240x + 720x2 + 60x3) + 5x2 * (4 + 12x + x2)) = 720
(720 + 2160x + 180x2 + 240x + 720x2 + 60x3 + (4 * 5x2 + 12x * 5x2 + x2 * 5x2)) = 720
(720 + 2160x + 180x2 + 240x + 720x2 + 60x3 + (20x2 + 60x3 + 5x4)) = 720

Reorder the terms:
(720 + 2160x + 240x + 180x2 + 720x2 + 20x2 + 60x3 + 60x3 + 5x4) = 720

Combine like terms: 2160x + 240x = 2400x
(720 + 2400x + 180x2 + 720x2 + 20x2 + 60x3 + 60x3 + 5x4) = 720

Combine like terms: 180x2 + 720x2 = 900x2
(720 + 2400x + 900x2 + 20x2 + 60x3 + 60x3 + 5x4) = 720

Combine like terms: 900x2 + 20x2 = 920x2
(720 + 2400x + 920x2 + 60x3 + 60x3 + 5x4) = 720

Combine like terms: 60x3 + 60x3 = 120x3
(720 + 2400x + 920x2 + 120x3 + 5x4) = 720

Add '-720' to each side of the equation.
720 + 2400x + 920x2 + 120x3 + -720 + 5x4 = 720 + -720

Reorder the terms:
720 + -720 + 2400x + 920x2 + 120x3 + 5x4 = 720 + -720

Combine like terms: 720 + -720 = 0
0 + 2400x + 920x2 + 120x3 + 5x4 = 720 + -720
2400x + 920x2 + 120x3 + 5x4 = 720 + -720

Combine like terms: 720 + -720 = 0
2400x + 920x2 + 120x3 + 5x4 = 0

Solving
2400x + 920x2 + 120x3 + 5x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(480 + 184x + 24x2 + x3) = 0

Ignore the factor 5.

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 '(480 + 184x + 24x2 + x3)' equal to zero and attempt to solve:

Simplifying
480 + 184x + 24x2 + x3 = 0

Solving
480 + 184x + 24x2 + x3 = 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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