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Simplifying 21x2 + -15xy + -12x = 0 Reorder the terms: -12x + -15xy + 21x2 = 0 Solving -12x + -15xy + 21x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(-4 + -5y + 7x) = 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 '(-4 + -5y + 7x)' equal to zero and attempt to solve: Simplifying -4 + -5y + 7x = 0 Reorder the terms: -4 + 7x + -5y = 0 Solving -4 + 7x + -5y = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 7x + 4 + -5y = 0 + 4 Reorder the terms: -4 + 4 + 7x + -5y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 7x + -5y = 0 + 4 7x + -5y = 0 + 4 Combine like terms: 0 + 4 = 4 7x + -5y = 4 Add '5y' to each side of the equation. 7x + -5y + 5y = 4 + 5y Combine like terms: -5y + 5y = 0 7x + 0 = 4 + 5y 7x = 4 + 5y Divide each side by '7'. x = 0.5714285714 + 0.7142857143y Simplifying x = 0.5714285714 + 0.7142857143ySolution
x = {0, 0.5714285714 + 0.7142857143y}
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