(2x-5)(4x+25)(4x+10)=0

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Solution for (2x-5)(4x+25)(4x+10)=0 equation: 


Simplifying
(2x + -5)(4x + 25)(4x + 10) = 0

Reorder the terms:
(-5 + 2x)(4x + 25)(4x + 10) = 0

Reorder the terms:
(-5 + 2x)(25 + 4x)(4x + 10) = 0

Reorder the terms:
(-5 + 2x)(25 + 4x)(10 + 4x) = 0

Multiply (-5 + 2x) * (25 + 4x)
(-5(25 + 4x) + 2x * (25 + 4x))(10 + 4x) = 0
((25 * -5 + 4x * -5) + 2x * (25 + 4x))(10 + 4x) = 0
((-125 + -20x) + 2x * (25 + 4x))(10 + 4x) = 0
(-125 + -20x + (25 * 2x + 4x * 2x))(10 + 4x) = 0
(-125 + -20x + (50x + 8x2))(10 + 4x) = 0

Combine like terms: -20x + 50x = 30x
(-125 + 30x + 8x2)(10 + 4x) = 0

Multiply (-125 + 30x + 8x2) * (10 + 4x)
(-125(10 + 4x) + 30x * (10 + 4x) + 8x2 * (10 + 4x)) = 0
((10 * -125 + 4x * -125) + 30x * (10 + 4x) + 8x2 * (10 + 4x)) = 0
((-1250 + -500x) + 30x * (10 + 4x) + 8x2 * (10 + 4x)) = 0
(-1250 + -500x + (10 * 30x + 4x * 30x) + 8x2 * (10 + 4x)) = 0
(-1250 + -500x + (300x + 120x2) + 8x2 * (10 + 4x)) = 0
(-1250 + -500x + 300x + 120x2 + (10 * 8x2 + 4x * 8x2)) = 0
(-1250 + -500x + 300x + 120x2 + (80x2 + 32x3)) = 0

Combine like terms: -500x + 300x = -200x
(-1250 + -200x + 120x2 + 80x2 + 32x3) = 0

Combine like terms: 120x2 + 80x2 = 200x2
(-1250 + -200x + 200x2 + 32x3) = 0

Solving
-1250 + -200x + 200x2 + 32x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-625 + -100x + 100x2 + 16x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-625 + -100x + 100x2 + 16x3)' equal to zero and attempt to solve:

Simplifying
-625 + -100x + 100x2 + 16x3 = 0

Solving
-625 + -100x + 100x2 + 16x3 = 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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