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Simplifying 7x2(8y + 2x) = 0 Reorder the terms: 7x2(2x + 8y) = 0 (2x * 7x2 + 8y * 7x2) = 0 Reorder the terms: (56x2y + 14x3) = 0 (56x2y + 14x3) = 0 Solving 56x2y + 14x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '14x2'. 14x2(4y + x) = 0 Ignore the factor 14.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(4y + x)' equal to zero and attempt to solve: Simplifying 4y + x = 0 Reorder the terms: x + 4y = 0 Solving x + 4y = 0 Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. x + 4y + -4y = 0 + -4y Combine like terms: 4y + -4y = 0 x + 0 = 0 + -4y x = 0 + -4y Remove the zero: x = -4y Simplifying x = -4ySolution
x = {0, -4y}
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