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Simplifying (2x)(3x + 4xy2) = 0 Remove parenthesis around (2x) 2x(3x + 4xy2) = 0 (3x * 2x + 4xy2 * 2x) = 0 (6x2 + 8x2y2) = 0 Solving 6x2 + 8x2y2 = 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), '2x2'. 2x2(3 + 4y2) = 0 Ignore the factor 2.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 '(3 + 4y2)' equal to zero and attempt to solve: Simplifying 3 + 4y2 = 0 Solving 3 + 4y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4y2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4y2 = 0 + -3 4y2 = 0 + -3 Combine like terms: 0 + -3 = -3 4y2 = -3 Add '-4y2' to each side of the equation. 4y2 + -4y2 = -3 + -4y2 Combine like terms: 4y2 + -4y2 = 0 0 = -3 + -4y2 Simplifying 0 = -3 + -4y2 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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