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Simplifying 10x + 8y * 2x = 0 Reorder the terms for easier multiplication: 10x + 8 * 2y * x = 0 Multiply 8 * 2 10x + 16y * x = 0 Multiply y * x 10x + 16xy = 0 Solving 10x + 16xy = 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(5 + 8y) = 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 '(5 + 8y)' equal to zero and attempt to solve: Simplifying 5 + 8y = 0 Solving 5 + 8y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 8y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 8y = 0 + -5 8y = 0 + -5 Combine like terms: 0 + -5 = -5 8y = -5 Add '-8y' to each side of the equation. 8y + -8y = -5 + -8y Combine like terms: 8y + -8y = 0 0 = -5 + -8y Simplifying 0 = -5 + -8y 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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