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Simplifying 50x3y2 + 30x2y2 + -10x2y2 = 0 Reorder the terms: 30x2y2 + -10x2y2 + 50x3y2 = 0 Combine like terms: 30x2y2 + -10x2y2 = 20x2y2 20x2y2 + 50x3y2 = 0 Solving 20x2y2 + 50x3y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '10x2y2'. 10x2y2(2 + 5x) = 0 Ignore the factor 10.Subproblem 1
Set the factor 'x2y2' equal to zero and attempt to solve: Simplifying x2y2 = 0 Solving x2y2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y2 = 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 '(2 + 5x)' equal to zero and attempt to solve: Simplifying 2 + 5x = 0 Solving 2 + 5x = 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 + 5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 0 + -2 5x = 0 + -2 Combine like terms: 0 + -2 = -2 5x = -2 Divide each side by '5'. x = -0.4 Simplifying x = -0.4Solution
x = {-0.4}
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