(7x-35)(48-6x)(9x+54)=0

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Solution for (7x-35)(48-6x)(9x+54)=0 equation: 


Simplifying
(7x + -35)(48 + -6x)(9x + 54) = 0

Reorder the terms:
(-35 + 7x)(48 + -6x)(9x + 54) = 0

Reorder the terms:
(-35 + 7x)(48 + -6x)(54 + 9x) = 0

Multiply (-35 + 7x) * (48 + -6x)
(-35(48 + -6x) + 7x * (48 + -6x))(54 + 9x) = 0
((48 * -35 + -6x * -35) + 7x * (48 + -6x))(54 + 9x) = 0
((-1680 + 210x) + 7x * (48 + -6x))(54 + 9x) = 0
(-1680 + 210x + (48 * 7x + -6x * 7x))(54 + 9x) = 0
(-1680 + 210x + (336x + -42x2))(54 + 9x) = 0

Combine like terms: 210x + 336x = 546x
(-1680 + 546x + -42x2)(54 + 9x) = 0

Multiply (-1680 + 546x + -42x2) * (54 + 9x)
(-1680(54 + 9x) + 546x * (54 + 9x) + -42x2 * (54 + 9x)) = 0
((54 * -1680 + 9x * -1680) + 546x * (54 + 9x) + -42x2 * (54 + 9x)) = 0
((-90720 + -15120x) + 546x * (54 + 9x) + -42x2 * (54 + 9x)) = 0
(-90720 + -15120x + (54 * 546x + 9x * 546x) + -42x2 * (54 + 9x)) = 0
(-90720 + -15120x + (29484x + 4914x2) + -42x2 * (54 + 9x)) = 0
(-90720 + -15120x + 29484x + 4914x2 + (54 * -42x2 + 9x * -42x2)) = 0
(-90720 + -15120x + 29484x + 4914x2 + (-2268x2 + -378x3)) = 0

Combine like terms: -15120x + 29484x = 14364x
(-90720 + 14364x + 4914x2 + -2268x2 + -378x3) = 0

Combine like terms: 4914x2 + -2268x2 = 2646x2
(-90720 + 14364x + 2646x2 + -378x3) = 0

Solving
-90720 + 14364x + 2646x2 + -378x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '378'.
378(-240 + 38x + 7x2 + -1x3) = 0

Ignore the factor 378.

Subproblem 1
Set the factor '(-240 + 38x + 7x2 + -1x3)' equal to zero and attempt to solve:

Simplifying
-240 + 38x + 7x2 + -1x3 = 0

Solving
-240 + 38x + 7x2 + -1x3 = 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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