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Simplifying (5x + y + -1)(3x) = 0 Reorder the terms: (-1 + 5x + y)(3x) = 0 Remove parenthesis around (3x) (-1 + 5x + y) * 3x = 0 Reorder the terms for easier multiplication: 3x(-1 + 5x + y) = 0 (-1 * 3x + 5x * 3x + y * 3x) = 0 Reorder the terms: (-3x + 3xy + 15x2) = 0 (-3x + 3xy + 15x2) = 0 Solving -3x + 3xy + 15x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(-1 + y + 5x) = 0 Ignore the factor 3.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 '(-1 + y + 5x)' equal to zero and attempt to solve: Simplifying -1 + y + 5x = 0 Reorder the terms: -1 + 5x + y = 0 Solving -1 + 5x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 5x + 1 + y = 0 + 1 Reorder the terms: -1 + 1 + 5x + y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 5x + y = 0 + 1 5x + y = 0 + 1 Combine like terms: 0 + 1 = 1 5x + y = 1 Add '-1y' to each side of the equation. 5x + y + -1y = 1 + -1y Combine like terms: y + -1y = 0 5x + 0 = 1 + -1y 5x = 1 + -1y Divide each side by '5'. x = 0.2 + -0.2y Simplifying x = 0.2 + -0.2ySolution
x = {0, 0.2 + -0.2y}
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