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Simplifying 6xy2 + 2x + -3xy2 + 6x = 0 Reorder the terms: 2x + 6x + 6xy2 + -3xy2 = 0 Combine like terms: 2x + 6x = 8x 8x + 6xy2 + -3xy2 = 0 Combine like terms: 6xy2 + -3xy2 = 3xy2 8x + 3xy2 = 0 Solving 8x + 3xy2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'x'. x(8 + 3y2) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(8 + 3y2)' equal to zero and attempt to solve: Simplifying 8 + 3y2 = 0 Solving 8 + 3y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 3y2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3y2 = 0 + -8 3y2 = 0 + -8 Combine like terms: 0 + -8 = -8 3y2 = -8 Add '-3y2' to each side of the equation. 3y2 + -3y2 = -8 + -3y2 Combine like terms: 3y2 + -3y2 = 0 0 = -8 + -3y2 Simplifying 0 = -8 + -3y2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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