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Simplifying 3x + -21x2 + 5xy = 0 Reorder the terms: 3x + 5xy + -21x2 = 0 Solving 3x + 5xy + -21x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(3 + 5y + -21x) = 0Subproblem 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 + 5y + -21x)' equal to zero and attempt to solve: Simplifying 3 + 5y + -21x = 0 Reorder the terms: 3 + -21x + 5y = 0 Solving 3 + -21x + 5y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -21x + -3 + 5y = 0 + -3 Reorder the terms: 3 + -3 + -21x + 5y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -21x + 5y = 0 + -3 -21x + 5y = 0 + -3 Combine like terms: 0 + -3 = -3 -21x + 5y = -3 Add '-5y' to each side of the equation. -21x + 5y + -5y = -3 + -5y Combine like terms: 5y + -5y = 0 -21x + 0 = -3 + -5y -21x = -3 + -5y Divide each side by '-21'. x = 0.1428571429 + 0.2380952381y Simplifying x = 0.1428571429 + 0.2380952381ySolution
x = {0, 0.1428571429 + 0.2380952381y}
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