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Simplifying 49y3 + -7y2 + 14y = 0 Reorder the terms: 14y + -7y2 + 49y3 = 0 Solving 14y + -7y2 + 49y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '7y'. 7y(2 + -1y + 7y2) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0Subproblem 2
Set the factor '(2 + -1y + 7y2)' equal to zero and attempt to solve: Simplifying 2 + -1y + 7y2 = 0 Solving 2 + -1y + 7y2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 0.2857142857 + -0.1428571429y + y2 = 0 Move the constant term to the right: Add '-0.2857142857' to each side of the equation. 0.2857142857 + -0.1428571429y + -0.2857142857 + y2 = 0 + -0.2857142857 Reorder the terms: 0.2857142857 + -0.2857142857 + -0.1428571429y + y2 = 0 + -0.2857142857 Combine like terms: 0.2857142857 + -0.2857142857 = 0.0000000000 0.0000000000 + -0.1428571429y + y2 = 0 + -0.2857142857 -0.1428571429y + y2 = 0 + -0.2857142857 Combine like terms: 0 + -0.2857142857 = -0.2857142857 -0.1428571429y + y2 = -0.2857142857 The y term is -0.1428571429y. Take half its coefficient (-0.07142857145). Square it (0.005102040819) and add it to both sides. Add '0.005102040819' to each side of the equation. -0.1428571429y + 0.005102040819 + y2 = -0.2857142857 + 0.005102040819 Reorder the terms: 0.005102040819 + -0.1428571429y + y2 = -0.2857142857 + 0.005102040819 Combine like terms: -0.2857142857 + 0.005102040819 = -0.280612244881 0.005102040819 + -0.1428571429y + y2 = -0.280612244881 Factor a perfect square on the left side: (y + -0.07142857145)(y + -0.07142857145) = -0.280612244881 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.Solution
y = {0}
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