(4x^2)(189-2x)(144-2x)+(144-2x)(189-2x)=0

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Solution for (4x^2)(189-2x)(144-2x)+(144-2x)(189-2x)=0 equation:


Simplifying
(4x2)(189 + -2x)(144 + -2x) + (144 + -2x)(189 + -2x) = 0

Remove parenthesis around (4x2)
4x2(189 + -2x)(144 + -2x) + (144 + -2x)(189 + -2x) = 0

Multiply (189 + -2x) * (144 + -2x)
4x2(189(144 + -2x) + -2x * (144 + -2x)) + (144 + -2x)(189 + -2x) = 0
4x2((144 * 189 + -2x * 189) + -2x * (144 + -2x)) + (144 + -2x)(189 + -2x) = 0
4x2((27216 + -378x) + -2x * (144 + -2x)) + (144 + -2x)(189 + -2x) = 0
4x2(27216 + -378x + (144 * -2x + -2x * -2x)) + (144 + -2x)(189 + -2x) = 0
4x2(27216 + -378x + (-288x + 4x2)) + (144 + -2x)(189 + -2x) = 0

Combine like terms: -378x + -288x = -666x
4x2(27216 + -666x + 4x2) + (144 + -2x)(189 + -2x) = 0
(27216 * 4x2 + -666x * 4x2 + 4x2 * 4x2) + (144 + -2x)(189 + -2x) = 0
(108864x2 + -2664x3 + 16x4) + (144 + -2x)(189 + -2x) = 0

Multiply (144 + -2x) * (189 + -2x)
108864x2 + -2664x3 + 16x4 + (144(189 + -2x) + -2x * (189 + -2x)) = 0
108864x2 + -2664x3 + 16x4 + ((189 * 144 + -2x * 144) + -2x * (189 + -2x)) = 0
108864x2 + -2664x3 + 16x4 + ((27216 + -288x) + -2x * (189 + -2x)) = 0
108864x2 + -2664x3 + 16x4 + (27216 + -288x + (189 * -2x + -2x * -2x)) = 0
108864x2 + -2664x3 + 16x4 + (27216 + -288x + (-378x + 4x2)) = 0

Combine like terms: -288x + -378x = -666x
108864x2 + -2664x3 + 16x4 + (27216 + -666x + 4x2) = 0

Reorder the terms:
27216 + -666x + 108864x2 + 4x2 + -2664x3 + 16x4 = 0

Combine like terms: 108864x2 + 4x2 = 108868x2
27216 + -666x + 108868x2 + -2664x3 + 16x4 = 0

Solving
27216 + -666x + 108868x2 + -2664x3 + 16x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(13608 + -333x + 54434x2 + -1332x3 + 8x4) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(13608 + -333x + 54434x2 + -1332x3 + 8x4)' equal to zero and attempt to solve: Simplifying 13608 + -333x + 54434x2 + -1332x3 + 8x4 = 0 Solving 13608 + -333x + 54434x2 + -1332x3 + 8x4 = 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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