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Simplifying (x + 2)(6x3 + -29x2)(37x + -12) = 0 Reorder the terms: (2 + x)(6x3 + -29x2)(37x + -12) = 0 Reorder the terms: (2 + x)(-29x2 + 6x3)(37x + -12) = 0 Reorder the terms: (2 + x)(-29x2 + 6x3)(-12 + 37x) = 0 Multiply (2 + x) * (-29x2 + 6x3) (2(-29x2 + 6x3) + x(-29x2 + 6x3))(-12 + 37x) = 0 ((-29x2 * 2 + 6x3 * 2) + x(-29x2 + 6x3))(-12 + 37x) = 0 ((-58x2 + 12x3) + x(-29x2 + 6x3))(-12 + 37x) = 0 (-58x2 + 12x3 + (-29x2 * x + 6x3 * x))(-12 + 37x) = 0 (-58x2 + 12x3 + (-29x3 + 6x4))(-12 + 37x) = 0 Combine like terms: 12x3 + -29x3 = -17x3 (-58x2 + -17x3 + 6x4)(-12 + 37x) = 0 Multiply (-58x2 + -17x3 + 6x4) * (-12 + 37x) (-58x2 * (-12 + 37x) + -17x3 * (-12 + 37x) + 6x4 * (-12 + 37x)) = 0 ((-12 * -58x2 + 37x * -58x2) + -17x3 * (-12 + 37x) + 6x4 * (-12 + 37x)) = 0 ((696x2 + -2146x3) + -17x3 * (-12 + 37x) + 6x4 * (-12 + 37x)) = 0 (696x2 + -2146x3 + (-12 * -17x3 + 37x * -17x3) + 6x4 * (-12 + 37x)) = 0 (696x2 + -2146x3 + (204x3 + -629x4) + 6x4 * (-12 + 37x)) = 0 (696x2 + -2146x3 + 204x3 + -629x4 + (-12 * 6x4 + 37x * 6x4)) = 0 (696x2 + -2146x3 + 204x3 + -629x4 + (-72x4 + 222x5)) = 0 Combine like terms: -2146x3 + 204x3 = -1942x3 (696x2 + -1942x3 + -629x4 + -72x4 + 222x5) = 0 Combine like terms: -629x4 + -72x4 = -701x4 (696x2 + -1942x3 + -701x4 + 222x5) = 0 Solving 696x2 + -1942x3 + -701x4 + 222x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2'. x2(696 + -1942x + -701x2 + 222x3) = 0Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(696 + -1942x + -701x2 + 222x3)' equal to zero and attempt to solve: Simplifying 696 + -1942x + -701x2 + 222x3 = 0 Solving 696 + -1942x + -701x2 + 222x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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