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Simplifying 3xy = 15x2 + -6x Reorder the terms: 3xy = -6x + 15x2 Solving 3xy = -6x + 15x2 Solving for variable 'x'. Reorder the terms: 6x + 3xy + -15x2 = -6x + 15x2 + 6x + -15x2 Reorder the terms: 6x + 3xy + -15x2 = -6x + 6x + 15x2 + -15x2 Combine like terms: -6x + 6x = 0 6x + 3xy + -15x2 = 0 + 15x2 + -15x2 6x + 3xy + -15x2 = 15x2 + -15x2 Combine like terms: 15x2 + -15x2 = 0 6x + 3xy + -15x2 = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(2 + 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 '(2 + y + -5x)' equal to zero and attempt to solve: Simplifying 2 + y + -5x = 0 Reorder the terms: 2 + -5x + y = 0 Solving 2 + -5x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -5x + -2 + y = 0 + -2 Reorder the terms: 2 + -2 + -5x + y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5x + y = 0 + -2 -5x + y = 0 + -2 Combine like terms: 0 + -2 = -2 -5x + y = -2 Add '-1y' to each side of the equation. -5x + y + -1y = -2 + -1y Combine like terms: y + -1y = 0 -5x + 0 = -2 + -1y -5x = -2 + -1y Divide each side by '-5'. x = 0.4 + 0.2y Simplifying x = 0.4 + 0.2ySolution
x = {0, 0.4 + 0.2y}
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