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Simplifying 14x7 + 21x4 = 0 Reorder the terms: 21x4 + 14x7 = 0 Solving 21x4 + 14x7 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '7x4'. 7x4(3 + 2x3) = 0 Ignore the factor 7.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 '(3 + 2x3)' equal to zero and attempt to solve: Simplifying 3 + 2x3 = 0 Solving 3 + 2x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2x3 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x3 = 0 + -3 2x3 = 0 + -3 Combine like terms: 0 + -3 = -3 2x3 = -3 Divide each side by '2'. x3 = -1.5 Simplifying x3 = -1.5 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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