(2x-4)(-5x+10)(3x+7)=0

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Solution for (2x-4)(-5x+10)(3x+7)=0 equation: 


Simplifying
(2x + -4)(-5x + 10)(3x + 7) = 0

Reorder the terms:
(-4 + 2x)(-5x + 10)(3x + 7) = 0

Reorder the terms:
(-4 + 2x)(10 + -5x)(3x + 7) = 0

Reorder the terms:
(-4 + 2x)(10 + -5x)(7 + 3x) = 0

Multiply (-4 + 2x) * (10 + -5x)
(-4(10 + -5x) + 2x * (10 + -5x))(7 + 3x) = 0
((10 * -4 + -5x * -4) + 2x * (10 + -5x))(7 + 3x) = 0
((-40 + 20x) + 2x * (10 + -5x))(7 + 3x) = 0
(-40 + 20x + (10 * 2x + -5x * 2x))(7 + 3x) = 0
(-40 + 20x + (20x + -10x2))(7 + 3x) = 0

Combine like terms: 20x + 20x = 40x
(-40 + 40x + -10x2)(7 + 3x) = 0

Multiply (-40 + 40x + -10x2) * (7 + 3x)
(-40(7 + 3x) + 40x * (7 + 3x) + -10x2 * (7 + 3x)) = 0
((7 * -40 + 3x * -40) + 40x * (7 + 3x) + -10x2 * (7 + 3x)) = 0
((-280 + -120x) + 40x * (7 + 3x) + -10x2 * (7 + 3x)) = 0
(-280 + -120x + (7 * 40x + 3x * 40x) + -10x2 * (7 + 3x)) = 0
(-280 + -120x + (280x + 120x2) + -10x2 * (7 + 3x)) = 0
(-280 + -120x + 280x + 120x2 + (7 * -10x2 + 3x * -10x2)) = 0
(-280 + -120x + 280x + 120x2 + (-70x2 + -30x3)) = 0

Combine like terms: -120x + 280x = 160x
(-280 + 160x + 120x2 + -70x2 + -30x3) = 0

Combine like terms: 120x2 + -70x2 = 50x2
(-280 + 160x + 50x2 + -30x3) = 0

Solving
-280 + 160x + 50x2 + -30x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '10'.
10(-28 + 16x + 5x2 + -3x3) = 0

Ignore the factor 10.

Subproblem 1
Set the factor '(-28 + 16x + 5x2 + -3x3)' equal to zero and attempt to solve:

Simplifying
-28 + 16x + 5x2 + -3x3 = 0

Solving
-28 + 16x + 5x2 + -3x3 = 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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