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Simplifying 2x6 + -4x4 + 4x6 + 7x4 = 0 Reorder the terms: -4x4 + 7x4 + 2x6 + 4x6 = 0 Combine like terms: -4x4 + 7x4 = 3x4 3x4 + 2x6 + 4x6 = 0 Combine like terms: 2x6 + 4x6 = 6x6 3x4 + 6x6 = 0 Solving 3x4 + 6x6 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x4'. 3x4(1 + 2x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'x4' equal to zero and attempt to solve: Simplifying x4 = 0 Solving x4 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x4 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(1 + 2x2)' equal to zero and attempt to solve: Simplifying 1 + 2x2 = 0 Solving 1 + 2x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x2 = 0 + -1 2x2 = 0 + -1 Combine like terms: 0 + -1 = -1 2x2 = -1 Divide each side by '2'. x2 = -0.5 Simplifying x2 = -0.5 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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