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Simplifying 2xy(5yz) + x = 0 Remove parenthesis around (5yz) 2xy * 5yz + x = 0 Reorder the terms for easier multiplication: 2 * 5xy * yz + x = 0 Multiply 2 * 5 10xy * yz + x = 0 Multiply xy * yz 10xy2z + x = 0 Reorder the terms: x + 10xy2z = 0 Solving x + 10xy2z = 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), 'x'. x(1 + 10y2z) = 0Subproblem 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 '(1 + 10y2z)' equal to zero and attempt to solve: Simplifying 1 + 10y2z = 0 Solving 1 + 10y2z = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 10y2z = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 10y2z = 0 + -1 10y2z = 0 + -1 Combine like terms: 0 + -1 = -1 10y2z = -1 Add '-10y2z' to each side of the equation. 10y2z + -10y2z = -1 + -10y2z Combine like terms: 10y2z + -10y2z = 0 0 = -1 + -10y2z Simplifying 0 = -1 + -10y2z 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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