(10-3x)(7+x)(8+6x)=0

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Solution for (10-3x)(7+x)(8+6x)=0 equation: 


Simplifying
(10 + -3x)(7 + x)(8 + 6x) = 0

Multiply (10 + -3x) * (7 + x)
(10(7 + x) + -3x * (7 + x))(8 + 6x) = 0
((7 * 10 + x * 10) + -3x * (7 + x))(8 + 6x) = 0
((70 + 10x) + -3x * (7 + x))(8 + 6x) = 0
(70 + 10x + (7 * -3x + x * -3x))(8 + 6x) = 0
(70 + 10x + (-21x + -3x2))(8 + 6x) = 0

Combine like terms: 10x + -21x = -11x
(70 + -11x + -3x2)(8 + 6x) = 0

Multiply (70 + -11x + -3x2) * (8 + 6x)
(70(8 + 6x) + -11x * (8 + 6x) + -3x2 * (8 + 6x)) = 0
((8 * 70 + 6x * 70) + -11x * (8 + 6x) + -3x2 * (8 + 6x)) = 0
((560 + 420x) + -11x * (8 + 6x) + -3x2 * (8 + 6x)) = 0
(560 + 420x + (8 * -11x + 6x * -11x) + -3x2 * (8 + 6x)) = 0
(560 + 420x + (-88x + -66x2) + -3x2 * (8 + 6x)) = 0
(560 + 420x + -88x + -66x2 + (8 * -3x2 + 6x * -3x2)) = 0
(560 + 420x + -88x + -66x2 + (-24x2 + -18x3)) = 0

Combine like terms: 420x + -88x = 332x
(560 + 332x + -66x2 + -24x2 + -18x3) = 0

Combine like terms: -66x2 + -24x2 = -90x2
(560 + 332x + -90x2 + -18x3) = 0

Solving
560 + 332x + -90x2 + -18x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(280 + 166x + -45x2 + -9x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(280 + 166x + -45x2 + -9x3)' equal to zero and attempt to solve:

Simplifying
280 + 166x + -45x2 + -9x3 = 0

Solving
280 + 166x + -45x2 + -9x3 = 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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