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Simplifying 9x2y2 + 12x2y + 4x2 = 0 Reorder the terms: 4x2 + 12x2y + 9x2y2 = 0 Solving 4x2 + 12x2y + 9x2y2 = 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), 'x2'. x2(4 + 12y + 9y2) = 0 Factor a trinomial. x2((2 + 3y)(2 + 3y)) = 0Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(2 + 3y)' equal to zero and attempt to solve: Simplifying 2 + 3y = 0 Solving 2 + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3y = 0 + -2 3y = 0 + -2 Combine like terms: 0 + -2 = -2 3y = -2 Add '-3y' to each side of the equation. 3y + -3y = -2 + -3y Combine like terms: 3y + -3y = 0 0 = -2 + -3y Simplifying 0 = -2 + -3y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(2 + 3y)' equal to zero and attempt to solve: Simplifying 2 + 3y = 0 Solving 2 + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3y = 0 + -2 3y = 0 + -2 Combine like terms: 0 + -2 = -2 3y = -2 Add '-3y' to each side of the equation. 3y + -3y = -2 + -3y Combine like terms: 3y + -3y = 0 0 = -2 + -3y Simplifying 0 = -2 + -3y 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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