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Simplifying 17xy4 + 51x2y2 = 0 Solving 17xy4 + 51x2y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '17xy2'. 17xy2(y2 + 3x) = 0 Ignore the factor 17.Subproblem 1
Set the factor 'xy2' equal to zero and attempt to solve: Simplifying xy2 = 0 Solving xy2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy2 = 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 '(y2 + 3x)' equal to zero and attempt to solve: Simplifying y2 + 3x = 0 Reorder the terms: 3x + y2 = 0 Solving 3x + y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y2' to each side of the equation. 3x + y2 + -1y2 = 0 + -1y2 Combine like terms: y2 + -1y2 = 0 3x + 0 = 0 + -1y2 3x = 0 + -1y2 Remove the zero: 3x = -1y2 Divide each side by '3'. x = -0.3333333333y2 Simplifying x = -0.3333333333y2Solution
x = {-0.3333333333y2}
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