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Simplifying 4x2(10 + 3y2) = 0 (10 * 4x2 + 3y2 * 4x2) = 0 (40x2 + 12x2y2) = 0 Solving 40x2 + 12x2y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '4x2'. 4x2(10 + 3y2) = 0 Ignore the factor 4.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 '(10 + 3y2)' equal to zero and attempt to solve: Simplifying 10 + 3y2 = 0 Solving 10 + 3y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 3y2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 3y2 = 0 + -10 3y2 = 0 + -10 Combine like terms: 0 + -10 = -10 3y2 = -10 Add '-3y2' to each side of the equation. 3y2 + -3y2 = -10 + -3y2 Combine like terms: 3y2 + -3y2 = 0 0 = -10 + -3y2 Simplifying 0 = -10 + -3y2 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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