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Simplifying (5x6 + -2x4) + (4x6 + 6x4) = 0 Reorder the terms: (-2x4 + 5x6) + (4x6 + 6x4) = 0 Remove parenthesis around (-2x4 + 5x6) -2x4 + 5x6 + (4x6 + 6x4) = 0 Reorder the terms: -2x4 + 5x6 + (6x4 + 4x6) = 0 Remove parenthesis around (6x4 + 4x6) -2x4 + 5x6 + 6x4 + 4x6 = 0 Reorder the terms: -2x4 + 6x4 + 5x6 + 4x6 = 0 Combine like terms: -2x4 + 6x4 = 4x4 4x4 + 5x6 + 4x6 = 0 Combine like terms: 5x6 + 4x6 = 9x6 4x4 + 9x6 = 0 Solving 4x4 + 9x6 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x4'. x4(4 + 9x2) = 0Subproblem 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 + 9x2)' equal to zero and attempt to solve: Simplifying 4 + 9x2 = 0 Solving 4 + 9x2 = 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 + 9x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 9x2 = 0 + -4 9x2 = 0 + -4 Combine like terms: 0 + -4 = -4 9x2 = -4 Divide each side by '9'. x2 = -0.4444444444 Simplifying x2 = -0.4444444444 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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