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Simplifying 3x2(7x + 8y) = 0 (7x * 3x2 + 8y * 3x2) = 0 Reorder the terms: (24x2y + 21x3) = 0 (24x2y + 21x3) = 0 Solving 24x2y + 21x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x2'. 3x2(8y + 7x) = 0 Ignore the factor 3.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 '(8y + 7x)' equal to zero and attempt to solve: Simplifying 8y + 7x = 0 Reorder the terms: 7x + 8y = 0 Solving 7x + 8y = 0 Move all terms containing x to the left, all other terms to the right. Add '-8y' to each side of the equation. 7x + 8y + -8y = 0 + -8y Combine like terms: 8y + -8y = 0 7x + 0 = 0 + -8y 7x = 0 + -8y Remove the zero: 7x = -8y Divide each side by '7'. x = -1.142857143y Simplifying x = -1.142857143ySolution
x = {0, -1.142857143y}
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