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Simplifying 84x2 + -20xy + 12x = 0 Reorder the terms: 12x + -20xy + 84x2 = 0 Solving 12x + -20xy + 84x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x'. 4x(3 + -5y + 21x) = 0 Ignore the factor 4.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 + -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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