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Simplifying (2x2 + -3600)(2x2 + -1800)(2x2 + -600) + -1(1440000)(2x2 + -600) + -1(360000)(2x2 + -3600) = 0 Reorder the terms: (-3600 + 2x2)(2x2 + -1800)(2x2 + -600) + -1(1440000)(2x2 + -600) + -1(360000)(2x2 + -3600) = 0 Reorder the terms: (-3600 + 2x2)(-1800 + 2x2)(2x2 + -600) + -1(1440000)(2x2 + -600) + -1(360000)(2x2 + -3600) = 0 Reorder the terms: (-3600 + 2x2)(-1800 + 2x2)(-600 + 2x2) + -1(1440000)(2x2 + -600) + -1(360000)(2x2 + -3600) = 0 Multiply (-3600 + 2x2) * (-1800 + 2x2) (-3600(-1800 + 2x2) + 2x2 * (-1800 + 2x2))(-600 + 2x2) + -1(1440000)(2x2 + -600) + -1(360000)(2x2 + -3600) = 0 ((-1800 * -3600 + 2x2 * -3600) + 2x2 * (-1800 + 2x2))(-600 + 2x2) + -1(1440000)(2x2 + -600) + -1(360000)(2x2 + -3600) = 0 ((6480000 + -7200x2) + 2x2 * (-1800 + 2x2))(-600 + 2x2) + -1(1440000)(2x2 + -600) + -1(360000)(2x2 + -3600) = 0 (6480000 + -7200x2 + (-1800 * 2x2 + 2x2 * 2x2))(-600 + 2x2) + -1(1440000)(2x2 + -600) + -1(360000)(2x2 + -3600) = 0 (6480000 + -7200x2 + (-3600x2 + 4x4))(-600 + 2x2) + -1(1440000)(2x2 + -600) + -1(360000)(2x2 + -3600) = 0 Combine like terms: -7200x2 + -3600x2 = -10800x2 (6480000 + -10800x2 + 4x4)(-600 + 2x2) + -1(1440000)(2x2 + -600) + -1(360000)(2x2 + -3600) = 0 Multiply (6480000 + -10800x2 + 4x4) * (-600 + 2x2) (6480000(-600 + 2x2) + -10800x2 * (-600 + 2x2) + 4x4 * (-600 + 2x2)) + -1(1440000)(2x2 + -600) + -1(360000)(2x2 + -3600) = 0 ((-600 * 6480000 + 2x2 * 6480000) + -10800x2 * (-600 + 2x2) + 4x4 * (-600 + 2x2)) + -1(1440000)(2x2 + -600) + -1(360000)(2x2 + -3600) = 0 ((-3888000000 + 12960000x2) + -10800x2 * (-600 + 2x2) + 4x4 * (-600 + 2x2)) + -1(1440000)(2x2 + -600) + -1(360000)(2x2 + -3600) = 0 (-3888000000 + 12960000x2 + (-600 * -10800x2 + 2x2 * -10800x2) + 4x4 * (-600 + 2x2)) + -1(1440000)(2x2 + -600) + -1(360000)(2x2 + -3600) = 0 (-3888000000 + 12960000x2 + (6480000x2 + -21600x4) + 4x4 * (-600 + 2x2)) + -1(1440000)(2x2 + -600) + -1(360000)(2x2 + -3600) = 0 (-3888000000 + 12960000x2 + 6480000x2 + -21600x4 + (-600 * 4x4 + 2x2 * 4x4)) + -1(1440000)(2x2 + -600) + -1(360000)(2x2 + -3600) = 0 (-3888000000 + 12960000x2 + 6480000x2 + -21600x4 + (-2400x4 + 8x6)) + -1(1440000)(2x2 + -600) + -1(360000)(2x2 + -3600) = 0 Combine like terms: 12960000x2 + 6480000x2 = 19440000x2 (-3888000000 + 19440000x2 + -21600x4 + -2400x4 + 8x6) + -1(1440000)(2x2 + -600) + -1(360000)(2x2 + -3600) = 0 Combine like terms: -21600x4 + -2400x4 = -24000x4 (-3888000000 + 19440000x2 + -24000x4 + 8x6) + -1(1440000)(2x2 + -600) + -1(360000)(2x2 + -3600) = 0 Reorder the terms: -3888000000 + 19440000x2 + -24000x4 + 8x6 + -1 * 1440000(-600 + 2x2) + -1(360000)(2x2 + -3600) = 0 Multiply -1 * 1440000 -3888000000 + 19440000x2 + -24000x4 + 8x6 + -1440000(-600 + 2x2) + -1(360000)(2x2 + -3600) = 0 -3888000000 + 19440000x2 + -24000x4 + 8x6 + (-600 * -1440000 + 2x2 * -1440000) + -1(360000)(2x2 + -3600) = 0 -3888000000 + 19440000x2 + -24000x4 + 8x6 + (864000000 + -2880000x2) + -1(360000)(2x2 + -3600) = 0 Reorder the terms: -3888000000 + 19440000x2 + -24000x4 + 8x6 + 864000000 + -2880000x2 + -1 * 360000(-3600 + 2x2) = 0 Multiply -1 * 360000 -3888000000 + 19440000x2 + -24000x4 + 8x6 + 864000000 + -2880000x2 + -360000(-3600 + 2x2) = 0 -3888000000 + 19440000x2 + -24000x4 + 8x6 + 864000000 + -2880000x2 + (-3600 * -360000 + 2x2 * -360000) = 0 -3888000000 + 19440000x2 + -24000x4 + 8x6 + 864000000 + -2880000x2 + (1296000000 + -720000x2) = 0 Reorder the terms: -3888000000 + 864000000 + 1296000000 + 19440000x2 + -2880000x2 + -720000x2 + -24000x4 + 8x6 = 0 Combine like terms: -3888000000 + 864000000 = -3024000000 -3024000000 + 1296000000 + 19440000x2 + -2880000x2 + -720000x2 + -24000x4 + 8x6 = 0 Combine like terms: -3024000000 + 1296000000 = -1728000000 -1728000000 + 19440000x2 + -2880000x2 + -720000x2 + -24000x4 + 8x6 = 0 Combine like terms: 19440000x2 + -2880000x2 = 16560000x2 -1728000000 + 16560000x2 + -720000x2 + -24000x4 + 8x6 = 0 Combine like terms: 16560000x2 + -720000x2 = 15840000x2 -1728000000 + 15840000x2 + -24000x4 + 8x6 = 0 Solving -1728000000 + 15840000x2 + -24000x4 + 8x6 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '8'. 8(-216000000 + 1980000x2 + -3000x4 + x6) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(-216000000 + 1980000x2 + -3000x4 + x6)' equal to zero and attempt to solve: Simplifying -216000000 + 1980000x2 + -3000x4 + x6 = 0 Solving -216000000 + 1980000x2 + -3000x4 + x6 = 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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