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Simplifying 88x2y + -21xy + 49y = 0 Reorder the terms: -21xy + 88x2y + 49y = 0 Solving -21xy + 88x2y + 49y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'y'. y(-21x + 88x2 + 49) = 0Subproblem 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 '(-21x + 88x2 + 49)' equal to zero and attempt to solve: Simplifying -21x + 88x2 + 49 = 0 Reorder the terms: 49 + -21x + 88x2 = 0 Solving 49 + -21x + 88x2 = 0 Begin completing the square. Divide all terms by 88 the coefficient of the squared term: Divide each side by '88'. 0.5568181818 + -0.2386363636x + x2 = 0 Move the constant term to the right: Add '-0.5568181818' to each side of the equation. 0.5568181818 + -0.2386363636x + -0.5568181818 + x2 = 0 + -0.5568181818 Reorder the terms: 0.5568181818 + -0.5568181818 + -0.2386363636x + x2 = 0 + -0.5568181818 Combine like terms: 0.5568181818 + -0.5568181818 = 0.0000000000 0.0000000000 + -0.2386363636x + x2 = 0 + -0.5568181818 -0.2386363636x + x2 = 0 + -0.5568181818 Combine like terms: 0 + -0.5568181818 = -0.5568181818 -0.2386363636x + x2 = -0.5568181818 The x term is -0.2386363636x. Take half its coefficient (-0.1193181818). Square it (0.01423682851) and add it to both sides. Add '0.01423682851' to each side of the equation. -0.2386363636x + 0.01423682851 + x2 = -0.5568181818 + 0.01423682851 Reorder the terms: 0.01423682851 + -0.2386363636x + x2 = -0.5568181818 + 0.01423682851 Combine like terms: -0.5568181818 + 0.01423682851 = -0.54258135329 0.01423682851 + -0.2386363636x + x2 = -0.54258135329 Factor a perfect square on the left side: (x + -0.1193181818)(x + -0.1193181818) = -0.54258135329 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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