8(x-5)(2x+3)(7x+14)=0

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Solution for 8(x-5)(2x+3)(7x+14)=0 equation: 


Simplifying
8(x + -5)(2x + 3)(7x + 14) = 0

Reorder the terms:
8(-5 + x)(2x + 3)(7x + 14) = 0

Reorder the terms:
8(-5 + x)(3 + 2x)(7x + 14) = 0

Reorder the terms:
8(-5 + x)(3 + 2x)(14 + 7x) = 0

Multiply (-5 + x) * (3 + 2x)
8(-5(3 + 2x) + x(3 + 2x))(14 + 7x) = 0
8((3 * -5 + 2x * -5) + x(3 + 2x))(14 + 7x) = 0
8((-15 + -10x) + x(3 + 2x))(14 + 7x) = 0
8(-15 + -10x + (3 * x + 2x * x))(14 + 7x) = 0
8(-15 + -10x + (3x + 2x2))(14 + 7x) = 0

Combine like terms: -10x + 3x = -7x
8(-15 + -7x + 2x2)(14 + 7x) = 0

Multiply (-15 + -7x + 2x2) * (14 + 7x)
8(-15(14 + 7x) + -7x * (14 + 7x) + 2x2 * (14 + 7x)) = 0
8((14 * -15 + 7x * -15) + -7x * (14 + 7x) + 2x2 * (14 + 7x)) = 0
8((-210 + -105x) + -7x * (14 + 7x) + 2x2 * (14 + 7x)) = 0
8(-210 + -105x + (14 * -7x + 7x * -7x) + 2x2 * (14 + 7x)) = 0
8(-210 + -105x + (-98x + -49x2) + 2x2 * (14 + 7x)) = 0
8(-210 + -105x + -98x + -49x2 + (14 * 2x2 + 7x * 2x2)) = 0
8(-210 + -105x + -98x + -49x2 + (28x2 + 14x3)) = 0

Combine like terms: -105x + -98x = -203x
8(-210 + -203x + -49x2 + 28x2 + 14x3) = 0

Combine like terms: -49x2 + 28x2 = -21x2
8(-210 + -203x + -21x2 + 14x3) = 0
(-210 * 8 + -203x * 8 + -21x2 * 8 + 14x3 * 8) = 0
(-1680 + -1624x + -168x2 + 112x3) = 0

Solving
-1680 + -1624x + -168x2 + 112x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '56'.
56(-30 + -29x + -3x2 + 2x3) = 0

Ignore the factor 56.

Subproblem 1
Set the factor '(-30 + -29x + -3x2 + 2x3)' equal to zero and attempt to solve:

Simplifying
-30 + -29x + -3x2 + 2x3 = 0

Solving
-30 + -29x + -3x2 + 2x3 = 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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