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Simplifying 3y4(6xy2 + 5xy + 6x) = 0 Reorder the terms: 3y4(6x + 5xy + 6xy2) = 0 (6x * 3y4 + 5xy * 3y4 + 6xy2 * 3y4) = 0 (18xy4 + 15xy5 + 18xy6) = 0 Solving 18xy4 + 15xy5 + 18xy6 = 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), '3xy4'. 3xy4(6 + 5y + 6y2) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'xy4' equal to zero and attempt to solve: Simplifying xy4 = 0 Solving xy4 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy4 = 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 '(6 + 5y + 6y2)' equal to zero and attempt to solve: Simplifying 6 + 5y + 6y2 = 0 Solving 6 + 5y + 6y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 5y + -6 + 6y2 = 0 + -6 Reorder the terms: 6 + -6 + 5y + 6y2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5y + 6y2 = 0 + -6 5y + 6y2 = 0 + -6 Combine like terms: 0 + -6 = -6 5y + 6y2 = -6 Add '-5y' to each side of the equation. 5y + -5y + 6y2 = -6 + -5y Combine like terms: 5y + -5y = 0 0 + 6y2 = -6 + -5y 6y2 = -6 + -5y Add '-6y2' to each side of the equation. 6y2 + -6y2 = -6 + -5y + -6y2 Combine like terms: 6y2 + -6y2 = 0 0 = -6 + -5y + -6y2 Simplifying 0 = -6 + -5y + -6y2 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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