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Simplifying (3x + y + 4)(5x) = 0 Reorder the terms: (4 + 3x + y)(5x) = 0 Remove parenthesis around (5x) (4 + 3x + y) * 5x = 0 Reorder the terms for easier multiplication: 5x(4 + 3x + y) = 0 (4 * 5x + 3x * 5x + y * 5x) = 0 Reorder the terms: (20x + 5xy + 15x2) = 0 (20x + 5xy + 15x2) = 0 Solving 20x + 5xy + 15x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x'. 5x(4 + y + 3x) = 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 + y + 3x)' equal to zero and attempt to solve: Simplifying 4 + y + 3x = 0 Reorder the terms: 4 + 3x + y = 0 Solving 4 + 3x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 3x + -4 + y = 0 + -4 Reorder the terms: 4 + -4 + 3x + y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3x + y = 0 + -4 3x + y = 0 + -4 Combine like terms: 0 + -4 = -4 3x + y = -4 Add '-1y' to each side of the equation. 3x + y + -1y = -4 + -1y Combine like terms: y + -1y = 0 3x + 0 = -4 + -1y 3x = -4 + -1y Divide each side by '3'. x = -1.333333333 + -0.3333333333y Simplifying x = -1.333333333 + -0.3333333333ySolution
x = {0, -1.333333333 + -0.3333333333y}
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