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Simplifying 21x2 + -35xy + -28x = 0 Reorder the terms: -28x + -35xy + 21x2 = 0 Solving -28x + -35xy + 21x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '7x'. 7x(-4 + -5y + 3x) = 0 Ignore the factor 7.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 + 3x)' equal to zero and attempt to solve: Simplifying -4 + -5y + 3x = 0 Reorder the terms: -4 + 3x + -5y = 0 Solving -4 + 3x + -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 + 3x + 4 + -5y = 0 + 4 Reorder the terms: -4 + 4 + 3x + -5y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3x + -5y = 0 + 4 3x + -5y = 0 + 4 Combine like terms: 0 + 4 = 4 3x + -5y = 4 Add '5y' to each side of the equation. 3x + -5y + 5y = 4 + 5y Combine like terms: -5y + 5y = 0 3x + 0 = 4 + 5y 3x = 4 + 5y Divide each side by '3'. x = 1.333333333 + 1.666666667y Simplifying x = 1.333333333 + 1.666666667ySolution
x = {0, 1.333333333 + 1.666666667y}
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