(x+7)(3x-18)(4x^2-20x+25)=0

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Solution for (x+7)(3x-18)(4x^2-20x+25)=0 equation: 


Simplifying
(x + 7)(3x + -18)(4x2 + -20x + 25) = 0

Reorder the terms:
(7 + x)(3x + -18)(4x2 + -20x + 25) = 0

Reorder the terms:
(7 + x)(-18 + 3x)(4x2 + -20x + 25) = 0

Reorder the terms:
(7 + x)(-18 + 3x)(25 + -20x + 4x2) = 0

Multiply (7 + x) * (-18 + 3x)
(7(-18 + 3x) + x(-18 + 3x))(25 + -20x + 4x2) = 0
((-18 * 7 + 3x * 7) + x(-18 + 3x))(25 + -20x + 4x2) = 0
((-126 + 21x) + x(-18 + 3x))(25 + -20x + 4x2) = 0
(-126 + 21x + (-18 * x + 3x * x))(25 + -20x + 4x2) = 0
(-126 + 21x + (-18x + 3x2))(25 + -20x + 4x2) = 0

Combine like terms: 21x + -18x = 3x
(-126 + 3x + 3x2)(25 + -20x + 4x2) = 0

Multiply (-126 + 3x + 3x2) * (25 + -20x + 4x2)
(-126(25 + -20x + 4x2) + 3x * (25 + -20x + 4x2) + 3x2 * (25 + -20x + 4x2)) = 0
((25 * -126 + -20x * -126 + 4x2 * -126) + 3x * (25 + -20x + 4x2) + 3x2 * (25 + -20x + 4x2)) = 0
((-3150 + 2520x + -504x2) + 3x * (25 + -20x + 4x2) + 3x2 * (25 + -20x + 4x2)) = 0
(-3150 + 2520x + -504x2 + (25 * 3x + -20x * 3x + 4x2 * 3x) + 3x2 * (25 + -20x + 4x2)) = 0
(-3150 + 2520x + -504x2 + (75x + -60x2 + 12x3) + 3x2 * (25 + -20x + 4x2)) = 0
(-3150 + 2520x + -504x2 + 75x + -60x2 + 12x3 + (25 * 3x2 + -20x * 3x2 + 4x2 * 3x2)) = 0
(-3150 + 2520x + -504x2 + 75x + -60x2 + 12x3 + (75x2 + -60x3 + 12x4)) = 0

Reorder the terms:
(-3150 + 2520x + 75x + -504x2 + -60x2 + 75x2 + 12x3 + -60x3 + 12x4) = 0

Combine like terms: 2520x + 75x = 2595x
(-3150 + 2595x + -504x2 + -60x2 + 75x2 + 12x3 + -60x3 + 12x4) = 0

Combine like terms: -504x2 + -60x2 = -564x2
(-3150 + 2595x + -564x2 + 75x2 + 12x3 + -60x3 + 12x4) = 0

Combine like terms: -564x2 + 75x2 = -489x2
(-3150 + 2595x + -489x2 + 12x3 + -60x3 + 12x4) = 0

Combine like terms: 12x3 + -60x3 = -48x3
(-3150 + 2595x + -489x2 + -48x3 + 12x4) = 0

Solving
-3150 + 2595x + -489x2 + -48x3 + 12x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-1050 + 865x + -163x2 + -16x3 + 4x4) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-1050 + 865x + -163x2 + -16x3 + 4x4)' equal to zero and attempt to solve:

Simplifying
-1050 + 865x + -163x2 + -16x3 + 4x4 = 0

Solving
-1050 + 865x + -163x2 + -16x3 + 4x4 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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