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Simplifying -5x(y + 5x + -3) = 0 Reorder the terms: -5x(-3 + 5x + y) = 0 (-3 * -5x + 5x * -5x + y * -5x) = 0 Reorder the terms: (15x + -5xy + -25x2) = 0 (15x + -5xy + -25x2) = 0 Solving 15x + -5xy + -25x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x'. 5x(3 + -1y + -5x) = 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 '(3 + -1y + -5x)' equal to zero and attempt to solve: Simplifying 3 + -1y + -5x = 0 Reorder the terms: 3 + -5x + -1y = 0 Solving 3 + -5x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -5x + -3 + -1y = 0 + -3 Reorder the terms: 3 + -3 + -5x + -1y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5x + -1y = 0 + -3 -5x + -1y = 0 + -3 Combine like terms: 0 + -3 = -3 -5x + -1y = -3 Add 'y' to each side of the equation. -5x + -1y + y = -3 + y Combine like terms: -1y + y = 0 -5x + 0 = -3 + y -5x = -3 + y Divide each side by '-5'. x = 0.6 + -0.2y Simplifying x = 0.6 + -0.2ySolution
x = {0, 0.6 + -0.2y}
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