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Simplifying 4x2 + -20x2y2 + 10y2 = 0 Solving 4x2 + -20x2y2 + 10y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10y2' to each side of the equation. 4x2 + -20x2y2 + 10y2 + -10y2 = 0 + -10y2 Combine like terms: 10y2 + -10y2 = 0 4x2 + -20x2y2 + 0 = 0 + -10y2 4x2 + -20x2y2 = 0 + -10y2 Remove the zero: 4x2 + -20x2y2 = -10y2 Combine like terms: -10y2 + 10y2 = 0 4x2 + -20x2y2 + 10y2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(2x2 + -10x2y2 + 5y2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2x2 + -10x2y2 + 5y2)' equal to zero and attempt to solve: Simplifying 2x2 + -10x2y2 + 5y2 = 0 Solving 2x2 + -10x2y2 + 5y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-5y2' to each side of the equation. 2x2 + -10x2y2 + 5y2 + -5y2 = 0 + -5y2 Combine like terms: 5y2 + -5y2 = 0 2x2 + -10x2y2 + 0 = 0 + -5y2 2x2 + -10x2y2 = 0 + -5y2 Remove the zero: 2x2 + -10x2y2 = -5y2 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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