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Simplifying ((600000 + -1000x)(1800000 + -1500x)(3000000 + -2000x)) + -1((-1200000)(-1200000)(600000 + -100x)) + -1((3000000 + -2000x)(-600000)(-600000)) = 0 Multiply (600000 + -1000x) * (1800000 + -1500x) ((600000(1800000 + -1500x) + -1000x * (1800000 + -1500x))(3000000 + -2000x)) + -1((-1200000)(-1200000)(600000 + -100x)) + -1((3000000 + -2000x)(-600000)(-600000)) = 0 (((1800000 * 600000 + -1500x * 600000) + -1000x * (1800000 + -1500x))(3000000 + -2000x)) + -1((-1200000)(-1200000)(600000 + -100x)) + -1((3000000 + -2000x)(-600000)(-600000)) = 0 (((1080000000000 + -900000000x) + -1000x * (1800000 + -1500x))(3000000 + -2000x)) + -1((-1200000)(-1200000)(600000 + -100x)) + -1((3000000 + -2000x)(-600000)(-600000)) = 0 ((1080000000000 + -900000000x + (1800000 * -1000x + -1500x * -1000x))(3000000 + -2000x)) + -1((-1200000)(-1200000)(600000 + -100x)) + -1((3000000 + -2000x)(-600000)(-600000)) = 0 ((1080000000000 + -900000000x + (-1800000000x + 1500000x2))(3000000 + -2000x)) + -1((-1200000)(-1200000)(600000 + -100x)) + -1((3000000 + -2000x)(-600000)(-600000)) = 0 Combine like terms: -900000000x + -1800000000x = -2700000000x ((1080000000000 + -2700000000x + 1500000x2)(3000000 + -2000x)) + -1((-1200000)(-1200000)(600000 + -100x)) + -1((3000000 + -2000x)(-600000)(-600000)) = 0 Multiply (1080000000000 + -2700000000x + 1500000x2) * (3000000 + -2000x) ((1080000000000(3000000 + -2000x) + -2700000000x * (3000000 + -2000x) + 1500000x2 * (3000000 + -2000x))) + -1((-1200000)(-1200000)(600000 + -100x)) + -1((3000000 + -2000x)(-600000)(-600000)) = 0 (((3000000 * 1080000000000 + -2000x * 1080000000000) + -2700000000x * (3000000 + -2000x) + 1500000x2 * (3000000 + -2000x))) + -1((-1200000)(-1200000)(600000 + -100x)) + -1((3000000 + -2000x)(-600000)(-600000)) = 0 (((3240000000000000000 + -2160000000000000x) + -2700000000x * (3000000 + -2000x) + 1500000x2 * (3000000 + -2000x))) + -1((-1200000)(-1200000)(600000 + -100x)) + -1((3000000 + -2000x)(-600000)(-600000)) = 0 ((3240000000000000000 + -2160000000000000x + (3000000 * -2700000000x + -2000x * -2700000000x) + 1500000x2 * (3000000 + -2000x))) + -1((-1200000)(-1200000)(600000 + -100x)) + -1((3000000 + -2000x)(-600000)(-600000)) = 0 ((3240000000000000000 + -2160000000000000x + (-8100000000000000x + 5400000000000x2) + 1500000x2 * (3000000 + -2000x))) + -1((-1200000)(-1200000)(600000 + -100x)) + -1((3000000 + -2000x)(-600000)(-600000)) = 0 ((3240000000000000000 + -2160000000000000x + -8100000000000000x + 5400000000000x2 + (3000000 * 1500000x2 + -2000x * 1500000x2))) + -1((-1200000)(-1200000)(600000 + -100x)) + -1((3000000 + -2000x)(-600000)(-600000)) = 0 ((3240000000000000000 + -2160000000000000x + -8100000000000000x + 5400000000000x2 + (4500000000000x2 + -3000000000x3))) + -1((-1200000)(-1200000)(600000 + -100x)) + -1((3000000 + -2000x)(-600000)(-600000)) = 0 Combine like terms: -2160000000000000x + -8100000000000000x = -10260000000000000x ((3240000000000000000 + -10260000000000000x + 5400000000000x2 + 4500000000000x2 + -3000000000x3)) + -1((-1200000)(-1200000)(600000 + -100x)) + -1((3000000 + -2000x)(-600000)(-600000)) = 0 Combine like terms: 5400000000000x2 + 4500000000000x2 = 9900000000000x2 ((3240000000000000000 + -10260000000000000x + 9900000000000x2 + -3000000000x3)) + -1((-1200000)(-1200000)(600000 + -100x)) + -1((3000000 + -2000x)(-600000)(-600000)) = 0 (3240000000000000000 + -10260000000000000x + 9900000000000x2 + -3000000000x3) + -1((-1200000)(-1200000)(600000 + -100x)) + -1((3000000 + -2000x)(-600000)(-600000)) = 0 Remove parenthesis around (3240000000000000000 + -10260000000000000x + 9900000000000x2 + -3000000000x3) 3240000000000000000 + -10260000000000000x + 9900000000000x2 + -3000000000x3 + -1((-1200000)(-1200000)(600000 + -100x)) + -1((3000000 + -2000x)(-600000)(-600000)) = 0 Multiply -1200000 * -1200000 3240000000000000000 + -10260000000000000x + 9900000000000x2 + -3000000000x3 + -1(1440000000000(600000 + -100x)) + -1((3000000 + -2000x)(-600000)(-600000)) = 0 3240000000000000000 + -10260000000000000x + 9900000000000x2 + -3000000000x3 + -1((600000 * 1440000000000 + -100x * 1440000000000)) + -1((3000000 + -2000x)(-600000)(-600000)) = 0 3240000000000000000 + -10260000000000000x + 9900000000000x2 + -3000000000x3 + -1((864000000000000000 + -144000000000000x)) + -1((3000000 + -2000x)(-600000)(-600000)) = 0 3240000000000000000 + -10260000000000000x + 9900000000000x2 + -3000000000x3 + (864000000000000000 * -1 + -144000000000000x * -1) + -1((3000000 + -2000x)(-600000)(-600000)) = 0 3240000000000000000 + -10260000000000000x + 9900000000000x2 + -3000000000x3 + (-864000000000000000 + 144000000000000x) + -1((3000000 + -2000x)(-600000)(-600000)) = 0 Reorder the terms for easier multiplication: 3240000000000000000 + -10260000000000000x + 9900000000000x2 + -3000000000x3 + -864000000000000000 + 144000000000000x + -1(-600000 * -600000(3000000 + -2000x)) = 0 Multiply -600000 * -600000 3240000000000000000 + -10260000000000000x + 9900000000000x2 + -3000000000x3 + -864000000000000000 + 144000000000000x + -1(360000000000(3000000 + -2000x)) = 0 3240000000000000000 + -10260000000000000x + 9900000000000x2 + -3000000000x3 + -864000000000000000 + 144000000000000x + -1((3000000 * 360000000000 + -2000x * 360000000000)) = 0 3240000000000000000 + -10260000000000000x + 9900000000000x2 + -3000000000x3 + -864000000000000000 + 144000000000000x + -1((1080000000000000000 + -720000000000000x)) = 0 3240000000000000000 + -10260000000000000x + 9900000000000x2 + -3000000000x3 + -864000000000000000 + 144000000000000x + (1080000000000000000 * -1 + -720000000000000x * -1) = 0 3240000000000000000 + -10260000000000000x + 9900000000000x2 + -3000000000x3 + -864000000000000000 + 144000000000000x + (-1080000000000000000 + 720000000000000x) = 0 Reorder the terms: 3240000000000000000 + -864000000000000000 + -1080000000000000000 + -10260000000000000x + 144000000000000x + 720000000000000x + 9900000000000x2 + -3000000000x3 = 0 Combine like terms: 3240000000000000000 + -864000000000000000 = 2376000000000000000 2376000000000000000 + -1080000000000000000 + -10260000000000000x + 144000000000000x + 720000000000000x + 9900000000000x2 + -3000000000x3 = 0 Combine like terms: 2376000000000000000 + -1080000000000000000 = 1296000000000000000 1296000000000000000 + -10260000000000000x + 144000000000000x + 720000000000000x + 9900000000000x2 + -3000000000x3 = 0 Combine like terms: -10260000000000000x + 144000000000000x = -10116000000000000x 1296000000000000000 + -10116000000000000x + 720000000000000x + 9900000000000x2 + -3000000000x3 = 0 Combine like terms: -10116000000000000x + 720000000000000x = -9396000000000000x 1296000000000000000 + -9396000000000000x + 9900000000000x2 + -3000000000x3 = 0 Solving 1296000000000000000 + -9396000000000000x + 9900000000000x2 + -3000000000x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3000000000'. 3000000000(432000000 + -3132000x + 3300x2 + -1x3) = 0 Ignore the factor 3000000000.Subproblem 1
Set the factor '(432000000 + -3132000x + 3300x2 + -1x3)' equal to zero and attempt to solve: Simplifying 432000000 + -3132000x + 3300x2 + -1x3 = 0 Solving 432000000 + -3132000x + 3300x2 + -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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