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Simplifying (35x2)(x2 + y2) = 0 Remove parenthesis around (35x2) 35x2(x2 + y2) = 0 (x2 * 35x2 + y2 * 35x2) = 0 Reorder the terms: (35x2y2 + 35x4) = 0 (35x2y2 + 35x4) = 0 Solving 35x2y2 + 35x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '35x2'. 35x2(y2 + x2) = 0 Ignore the factor 35.Subproblem 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 '(y2 + x2)' equal to zero and attempt to solve: Simplifying y2 + x2 = 0 Reorder the terms: x2 + y2 = 0 Solving x2 + y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y2' to each side of the equation. x2 + y2 + -1y2 = 0 + -1y2 Combine like terms: y2 + -1y2 = 0 x2 + 0 = 0 + -1y2 x2 = 0 + -1y2 Remove the zero: x2 = -1y2 Simplifying x2 = -1y2 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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