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Simplifying 4x2y2 + y = 0 Solving 4x2y2 + y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 4x2y2 + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 4x2y2 + 0 = 0 + -1y 4x2y2 = 0 + -1y Remove the zero: 4x2y2 = -1y Divide each side by '4y2'. x2 = -0.25y-1 Simplifying x2 = -0.25y-1 Combine like terms: -0.25y-1 + 0.25y-1 = 0.00 x2 + 0.25y-1 = 0.00 Factor out the Greatest Common Factor (GCF), 'y-1'. y-1(x2y + 0.25) = 0.00Subproblem 1
Set the factor 'y-1' equal to zero and attempt to solve: Simplifying y-1 = 0 Solving y-1 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y-1' to each side of the equation. y-1 + -1y-1 = 0 + -1y-1 Remove the zero: 0 = -1y-1 Simplifying 0 = -1y-1 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 '(x2y + 0.25)' equal to zero and attempt to solve: Simplifying x2y + 0.25 = 0 Reorder the terms: 0.25 + x2y = 0 Solving 0.25 + x2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-0.25' to each side of the equation. 0.25 + -0.25 + x2y = 0 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + x2y = 0 + -0.25 x2y = 0 + -0.25 Combine like terms: 0 + -0.25 = -0.25 x2y = -0.25 Divide each side by 'y'. x2 = -0.25y-1 Simplifying x2 = -0.25y-1 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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