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Simplifying x4 + -7x3 = 49x2 + -343x Reorder the terms: -7x3 + x4 = 49x2 + -343x Reorder the terms: -7x3 + x4 = -343x + 49x2 Solving -7x3 + x4 = -343x + 49x2 Solving for variable 'x'. Reorder the terms: 343x + -49x2 + -7x3 + x4 = -343x + 49x2 + 343x + -49x2 Reorder the terms: 343x + -49x2 + -7x3 + x4 = -343x + 343x + 49x2 + -49x2 Combine like terms: -343x + 343x = 0 343x + -49x2 + -7x3 + x4 = 0 + 49x2 + -49x2 343x + -49x2 + -7x3 + x4 = 49x2 + -49x2 Combine like terms: 49x2 + -49x2 = 0 343x + -49x2 + -7x3 + x4 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(343 + -49x + -7x2 + x3) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(343 + -49x + -7x2 + x3)' equal to zero and attempt to solve: Simplifying 343 + -49x + -7x2 + x3 = 0 Solving 343 + -49x + -7x2 + x3 = 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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