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Simplifying 5x(3y + 2x + 4) = 0 Reorder the terms: 5x(4 + 2x + 3y) = 0 (4 * 5x + 2x * 5x + 3y * 5x) = 0 Reorder the terms: (20x + 15xy + 10x2) = 0 (20x + 15xy + 10x2) = 0 Solving 20x + 15xy + 10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x'. 5x(4 + 3y + 2x) = 0 Ignore the factor 5.Subproblem 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 '(4 + 3y + 2x)' equal to zero and attempt to solve: Simplifying 4 + 3y + 2x = 0 Reorder the terms: 4 + 2x + 3y = 0 Solving 4 + 2x + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 2x + -4 + 3y = 0 + -4 Reorder the terms: 4 + -4 + 2x + 3y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 2x + 3y = 0 + -4 2x + 3y = 0 + -4 Combine like terms: 0 + -4 = -4 2x + 3y = -4 Add '-3y' to each side of the equation. 2x + 3y + -3y = -4 + -3y Combine like terms: 3y + -3y = 0 2x + 0 = -4 + -3y 2x = -4 + -3y Divide each side by '2'. x = -2 + -1.5y Simplifying x = -2 + -1.5ySolution
x = {0, -2 + -1.5y}
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