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Simplifying 34x + 13xy * 12y = 0 Reorder the terms for easier multiplication: 34x + 13 * 12xy * y = 0 Multiply 13 * 12 34x + 156xy * y = 0 Multiply xy * y 34x + 156xy2 = 0 Solving 34x + 156xy2 = 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), '2x'. 2x(17 + 78y2) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(17 + 78y2)' equal to zero and attempt to solve: Simplifying 17 + 78y2 = 0 Solving 17 + 78y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 78y2 = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 78y2 = 0 + -17 78y2 = 0 + -17 Combine like terms: 0 + -17 = -17 78y2 = -17 Add '-78y2' to each side of the equation. 78y2 + -78y2 = -17 + -78y2 Combine like terms: 78y2 + -78y2 = 0 0 = -17 + -78y2 Simplifying 0 = -17 + -78y2 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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