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Simplifying 18y4(x + -3) + -54y2(x + -3) = 0 Reorder the terms: 18y4(-3 + x) + -54y2(x + -3) = 0 (-3 * 18y4 + x * 18y4) + -54y2(x + -3) = 0 Reorder the terms: (18xy4 + -54y4) + -54y2(x + -3) = 0 (18xy4 + -54y4) + -54y2(x + -3) = 0 Reorder the terms: 18xy4 + -54y4 + -54y2(-3 + x) = 0 18xy4 + -54y4 + (-3 * -54y2 + x * -54y2) = 0 Reorder the terms: 18xy4 + -54y4 + (-54xy2 + 162y2) = 0 18xy4 + -54y4 + (-54xy2 + 162y2) = 0 Reorder the terms: -54xy2 + 18xy4 + 162y2 + -54y4 = 0 Solving -54xy2 + 18xy4 + 162y2 + -54y4 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-162y2' to each side of the equation. -54xy2 + 18xy4 + 162y2 + -162y2 + -54y4 = 0 + -162y2 Combine like terms: 162y2 + -162y2 = 0 -54xy2 + 18xy4 + 0 + -54y4 = 0 + -162y2 -54xy2 + 18xy4 + -54y4 = 0 + -162y2 Remove the zero: -54xy2 + 18xy4 + -54y4 = -162y2 Add '54y4' to each side of the equation. -54xy2 + 18xy4 + -54y4 + 54y4 = -162y2 + 54y4 Combine like terms: -54y4 + 54y4 = 0 -54xy2 + 18xy4 + 0 = -162y2 + 54y4 -54xy2 + 18xy4 = -162y2 + 54y4 Reorder the terms: -54xy2 + 18xy4 + 162y2 + -54y4 = -162y2 + 162y2 + 54y4 + -54y4 Combine like terms: -162y2 + 162y2 = 0 -54xy2 + 18xy4 + 162y2 + -54y4 = 0 + 54y4 + -54y4 -54xy2 + 18xy4 + 162y2 + -54y4 = 54y4 + -54y4 Combine like terms: 54y4 + -54y4 = 0 -54xy2 + 18xy4 + 162y2 + -54y4 = 0 Factor out the Greatest Common Factor (GCF), '18y2'. 18y2(-3x + xy2 + 9 + -3y2) = 0 Ignore the factor 18.Subproblem 1
Set the factor 'y2' equal to zero and attempt to solve: Simplifying y2 = 0 Solving y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y2' to each side of the equation. y2 + -1y2 = 0 + -1y2 Remove the zero: 0 = -1y2 Simplifying 0 = -1y2 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 '(-3x + xy2 + 9 + -3y2)' equal to zero and attempt to solve: Simplifying -3x + xy2 + 9 + -3y2 = 0 Reorder the terms: 9 + -3x + xy2 + -3y2 = 0 Solving 9 + -3x + xy2 + -3y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -3x + xy2 + -9 + -3y2 = 0 + -9 Reorder the terms: 9 + -9 + -3x + xy2 + -3y2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -3x + xy2 + -3y2 = 0 + -9 -3x + xy2 + -3y2 = 0 + -9 Combine like terms: 0 + -9 = -9 -3x + xy2 + -3y2 = -9 Add '3y2' to each side of the equation. -3x + xy2 + -3y2 + 3y2 = -9 + 3y2 Combine like terms: -3y2 + 3y2 = 0 -3x + xy2 + 0 = -9 + 3y2 -3x + xy2 = -9 + 3y2 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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