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Simplifying (10x6 + 8x4) = 0 Reorder the terms: (8x4 + 10x6) = 0 Remove parenthesis around (8x4 + 10x6) 8x4 + 10x6 = 0 Solving 8x4 + 10x6 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x4'. 2x4(4 + 5x2) = 0 Ignore the factor 2.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 '(4 + 5x2)' equal to zero and attempt to solve: Simplifying 4 + 5x2 = 0 Solving 4 + 5x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5x2 = 0 + -4 5x2 = 0 + -4 Combine like terms: 0 + -4 = -4 5x2 = -4 Divide each side by '5'. x2 = -0.8 Simplifying x2 = -0.8 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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