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Simplifying 4y2x2 + 20yx2 + 25x2 = 0 Reorder the terms: 25x2 + 20x2y + 4x2y2 = 0 Solving 25x2 + 20x2y + 4x2y2 = 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(25 + 20y + 4y2) = 0 Factor a trinomial. x2((5 + 2y)(5 + 2y)) = 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 '(5 + 2y)' equal to zero and attempt to solve: Simplifying 5 + 2y = 0 Solving 5 + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2y = 0 + -5 2y = 0 + -5 Combine like terms: 0 + -5 = -5 2y = -5 Add '-2y' to each side of the equation. 2y + -2y = -5 + -2y Combine like terms: 2y + -2y = 0 0 = -5 + -2y Simplifying 0 = -5 + -2y 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 '(5 + 2y)' equal to zero and attempt to solve: Simplifying 5 + 2y = 0 Solving 5 + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2y = 0 + -5 2y = 0 + -5 Combine like terms: 0 + -5 = -5 2y = -5 Add '-2y' to each side of the equation. 2y + -2y = -5 + -2y Combine like terms: 2y + -2y = 0 0 = -5 + -2y Simplifying 0 = -5 + -2y 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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