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Simplifying 3x2(2y + 5x) = 0 Reorder the terms: 3x2(5x + 2y) = 0 (5x * 3x2 + 2y * 3x2) = 0 Reorder the terms: (6x2y + 15x3) = 0 (6x2y + 15x3) = 0 Solving 6x2y + 15x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x2'. 3x2(2y + 5x) = 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 '(2y + 5x)' equal to zero and attempt to solve: Simplifying 2y + 5x = 0 Reorder the terms: 5x + 2y = 0 Solving 5x + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. 5x + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 5x + 0 = 0 + -2y 5x = 0 + -2y Remove the zero: 5x = -2y Divide each side by '5'. x = -0.4y Simplifying x = -0.4ySolution
x = {0, -0.4y}
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