8*(382x-295)(492-15x)(5128-x)=0

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Solution for 8*(382x-295)(492-15x)(5128-x)=0 equation:


Simplifying
8(382x + -295)(492 + -15x)(5128 + -1x) = 0

Reorder the terms:
8(-295 + 382x)(492 + -15x)(5128 + -1x) = 0

Multiply (-295 + 382x) * (492 + -15x)
8(-295(492 + -15x) + 382x * (492 + -15x))(5128 + -1x) = 0
8((492 * -295 + -15x * -295) + 382x * (492 + -15x))(5128 + -1x) = 0
8((-145140 + 4425x) + 382x * (492 + -15x))(5128 + -1x) = 0
8(-145140 + 4425x + (492 * 382x + -15x * 382x))(5128 + -1x) = 0
8(-145140 + 4425x + (187944x + -5730x2))(5128 + -1x) = 0

Combine like terms: 4425x + 187944x = 192369x
8(-145140 + 192369x + -5730x2)(5128 + -1x) = 0

Multiply (-145140 + 192369x + -5730x2) * (5128 + -1x)
8(-145140(5128 + -1x) + 192369x * (5128 + -1x) + -5730x2 * (5128 + -1x)) = 0
8((5128 * -145140 + -1x * -145140) + 192369x * (5128 + -1x) + -5730x2 * (5128 + -1x)) = 0
8((-744277920 + 145140x) + 192369x * (5128 + -1x) + -5730x2 * (5128 + -1x)) = 0
8(-744277920 + 145140x + (5128 * 192369x + -1x * 192369x) + -5730x2 * (5128 + -1x)) = 0
8(-744277920 + 145140x + (986468232x + -192369x2) + -5730x2 * (5128 + -1x)) = 0
8(-744277920 + 145140x + 986468232x + -192369x2 + (5128 * -5730x2 + -1x * -5730x2)) = 0
8(-744277920 + 145140x + 986468232x + -192369x2 + (-29383440x2 + 5730x3)) = 0

Combine like terms: 145140x + 986468232x = 986613372x
8(-744277920 + 986613372x + -192369x2 + -29383440x2 + 5730x3) = 0

Combine like terms: -192369x2 + -29383440x2 = -29575809x2
8(-744277920 + 986613372x + -29575809x2 + 5730x3) = 0
(-744277920 * 8 + 986613372x * 8 + -29575809x2 * 8 + 5730x3 * 8) = 0
(-5954223360 + 7892906976x + -236606472x2 + 45840x3) = 0

Solving
-5954223360 + 7892906976x + -236606472x2 + 45840x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '24'.
24(-248092640 + 328871124x + -9858603x2 + 1910x3) = 0

Ignore the factor 24.

Subproblem 1

Set the factor '(-248092640 + 328871124x + -9858603x2 + 1910x3)' equal to zero and attempt to solve: Simplifying -248092640 + 328871124x + -9858603x2 + 1910x3 = 0 Solving -248092640 + 328871124x + -9858603x2 + 1910x3 = 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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