(3x-7)(4x+1)(5x-10)=0

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Solution for (3x-7)(4x+1)(5x-10)=0 equation: 


Simplifying
(3x + -7)(4x + 1)(5x + -10) = 0

Reorder the terms:
(-7 + 3x)(4x + 1)(5x + -10) = 0

Reorder the terms:
(-7 + 3x)(1 + 4x)(5x + -10) = 0

Reorder the terms:
(-7 + 3x)(1 + 4x)(-10 + 5x) = 0

Multiply (-7 + 3x) * (1 + 4x)
(-7(1 + 4x) + 3x * (1 + 4x))(-10 + 5x) = 0
((1 * -7 + 4x * -7) + 3x * (1 + 4x))(-10 + 5x) = 0
((-7 + -28x) + 3x * (1 + 4x))(-10 + 5x) = 0
(-7 + -28x + (1 * 3x + 4x * 3x))(-10 + 5x) = 0
(-7 + -28x + (3x + 12x2))(-10 + 5x) = 0

Combine like terms: -28x + 3x = -25x
(-7 + -25x + 12x2)(-10 + 5x) = 0

Multiply (-7 + -25x + 12x2) * (-10 + 5x)
(-7(-10 + 5x) + -25x * (-10 + 5x) + 12x2 * (-10 + 5x)) = 0
((-10 * -7 + 5x * -7) + -25x * (-10 + 5x) + 12x2 * (-10 + 5x)) = 0
((70 + -35x) + -25x * (-10 + 5x) + 12x2 * (-10 + 5x)) = 0
(70 + -35x + (-10 * -25x + 5x * -25x) + 12x2 * (-10 + 5x)) = 0
(70 + -35x + (250x + -125x2) + 12x2 * (-10 + 5x)) = 0
(70 + -35x + 250x + -125x2 + (-10 * 12x2 + 5x * 12x2)) = 0
(70 + -35x + 250x + -125x2 + (-120x2 + 60x3)) = 0

Combine like terms: -35x + 250x = 215x
(70 + 215x + -125x2 + -120x2 + 60x3) = 0

Combine like terms: -125x2 + -120x2 = -245x2
(70 + 215x + -245x2 + 60x3) = 0

Solving
70 + 215x + -245x2 + 60x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(14 + 43x + -49x2 + 12x3) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(14 + 43x + -49x2 + 12x3)' equal to zero and attempt to solve:

Simplifying
14 + 43x + -49x2 + 12x3 = 0

Solving
14 + 43x + -49x2 + 12x3 = 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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