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Simplifying 5x6y8 + 10x7y7 = 0 Solving 5x6y8 + 10x7y7 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x6y7'. 5x6y7(y + 2x) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'x6y7' equal to zero and attempt to solve: Simplifying x6y7 = 0 Solving x6y7 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x6y7 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(y + 2x)' equal to zero and attempt to solve: Simplifying y + 2x = 0 Reorder the terms: 2x + y = 0 Solving 2x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 2x + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 2x + 0 = 0 + -1y 2x = 0 + -1y Remove the zero: 2x = -1y Divide each side by '2'. x = -0.5y Simplifying x = -0.5ySolution
x = {-0.5y}
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