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Simplifying (5a2x + 3ax2 + -5x) + (2a2x + 5ax2 + 7x) = 0 Reorder the terms: (3ax2 + 5a2x + -5x) + (2a2x + 5ax2 + 7x) = 0 Remove parenthesis around (3ax2 + 5a2x + -5x) 3ax2 + 5a2x + -5x + (2a2x + 5ax2 + 7x) = 0 Reorder the terms: 3ax2 + 5a2x + -5x + (5ax2 + 2a2x + 7x) = 0 Remove parenthesis around (5ax2 + 2a2x + 7x) 3ax2 + 5a2x + -5x + 5ax2 + 2a2x + 7x = 0 Reorder the terms: 3ax2 + 5ax2 + 5a2x + 2a2x + -5x + 7x = 0 Combine like terms: 3ax2 + 5ax2 = 8ax2 8ax2 + 5a2x + 2a2x + -5x + 7x = 0 Combine like terms: 5a2x + 2a2x = 7a2x 8ax2 + 7a2x + -5x + 7x = 0 Combine like terms: -5x + 7x = 2x 8ax2 + 7a2x + 2x = 0 Solving 8ax2 + 7a2x + 2x = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'x'. x(8ax + 7a2 + 2) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing a to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x = 0 + -1x Remove the zero: 0 = -1x Simplifying 0 = -1x 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 '(8ax + 7a2 + 2)' equal to zero and attempt to solve: Simplifying 8ax + 7a2 + 2 = 0 Reorder the terms: 2 + 8ax + 7a2 = 0 Solving 2 + 8ax + 7a2 = 0 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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