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Simplifying x(7x + 2y) = 0 (7x * x + 2y * x) = 0 Reorder the terms: (2xy + 7x2) = 0 (2xy + 7x2) = 0 Solving 2xy + 7x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(2y + 7x) = 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 '(2y + 7x)' equal to zero and attempt to solve: Simplifying 2y + 7x = 0 Reorder the terms: 7x + 2y = 0 Solving 7x + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. 7x + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 7x + 0 = 0 + -2y 7x = 0 + -2y Remove the zero: 7x = -2y Divide each side by '7'. x = -0.2857142857y Simplifying x = -0.2857142857ySolution
x = {0, -0.2857142857y}
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