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Simplifying 84x2 + -12xy + 28x = 0 Reorder the terms: 28x + -12xy + 84x2 = 0 Solving 28x + -12xy + 84x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x'. 4x(7 + -3y + 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 '(7 + -3y + 21x)' equal to zero and attempt to solve: Simplifying 7 + -3y + 21x = 0 Reorder the terms: 7 + 21x + -3y = 0 Solving 7 + 21x + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 21x + -7 + -3y = 0 + -7 Reorder the terms: 7 + -7 + 21x + -3y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 21x + -3y = 0 + -7 21x + -3y = 0 + -7 Combine like terms: 0 + -7 = -7 21x + -3y = -7 Add '3y' to each side of the equation. 21x + -3y + 3y = -7 + 3y Combine like terms: -3y + 3y = 0 21x + 0 = -7 + 3y 21x = -7 + 3y Divide each side by '21'. x = -0.3333333333 + 0.1428571429y Simplifying x = -0.3333333333 + 0.1428571429ySolution
x = {0, -0.3333333333 + 0.1428571429y}
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