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Simplifying (-3)(7x2y + -1xy + 2y) = 0 Reorder the terms: -3(-1xy + 7x2y + 2y) = 0 (-1xy * -3 + 7x2y * -3 + 2y * -3) = 0 (3xy + -21x2y + -6y) = 0 Solving 3xy + -21x2y + -6y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3y'. 3y(x + -7x2 + -2) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. y + -1y = 0 + -1y Remove the zero: 0 = -1y Simplifying 0 = -1y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(x + -7x2 + -2)' equal to zero and attempt to solve: Simplifying x + -7x2 + -2 = 0 Reorder the terms: -2 + x + -7x2 = 0 Solving -2 + x + -7x2 = 0 Begin completing the square. Divide all terms by -7 the coefficient of the squared term: Divide each side by '-7'. 0.2857142857 + -0.1428571429x + x2 = 0 Move the constant term to the right: Add '-0.2857142857' to each side of the equation. 0.2857142857 + -0.1428571429x + -0.2857142857 + x2 = 0 + -0.2857142857 Reorder the terms: 0.2857142857 + -0.2857142857 + -0.1428571429x + x2 = 0 + -0.2857142857 Combine like terms: 0.2857142857 + -0.2857142857 = 0.0000000000 0.0000000000 + -0.1428571429x + x2 = 0 + -0.2857142857 -0.1428571429x + x2 = 0 + -0.2857142857 Combine like terms: 0 + -0.2857142857 = -0.2857142857 -0.1428571429x + x2 = -0.2857142857 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -0.1428571429x + 0.25 + x2 = -0.2857142857 + 0.25 Reorder the terms: 0.25 + -0.1428571429x + x2 = -0.2857142857 + 0.25 Combine like terms: -0.2857142857 + 0.25 = -0.0357142857 0.25 + -0.1428571429x + x2 = -0.0357142857 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -0.0357142857 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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