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Simplifying 25x3y2 + -15x2y2 + 5x2y = 0 Reorder the terms: 5x2y + -15x2y2 + 25x3y2 = 0 Solving 5x2y + -15x2y2 + 25x3y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x2y'. 5x2y(1 + -3y + 5xy) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'x2y' equal to zero and attempt to solve: Simplifying x2y = 0 Solving x2y = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y = 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 '(1 + -3y + 5xy)' equal to zero and attempt to solve: Simplifying 1 + -3y + 5xy = 0 Reorder the terms: 1 + 5xy + -3y = 0 Solving 1 + 5xy + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 5xy + -1 + -3y = 0 + -1 Reorder the terms: 1 + -1 + 5xy + -3y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5xy + -3y = 0 + -1 5xy + -3y = 0 + -1 Combine like terms: 0 + -1 = -1 5xy + -3y = -1 Add '3y' to each side of the equation. 5xy + -3y + 3y = -1 + 3y Combine like terms: -3y + 3y = 0 5xy + 0 = -1 + 3y 5xy = -1 + 3y Divide each side by '5y'. x = -0.2y-1 + 0.6 Simplifying x = -0.2y-1 + 0.6 Reorder the terms: x = 0.6 + -0.2y-1Solution
x = {0.6 + -0.2y-1}
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