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Simplifying 7y4(2y2 + -3y + 7) = 0 Reorder the terms: 7y4(7 + -3y + 2y2) = 0 (7 * 7y4 + -3y * 7y4 + 2y2 * 7y4) = 0 (49y4 + -21y5 + 14y6) = 0 Solving 49y4 + -21y5 + 14y6 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '7y4'. 7y4(7 + -3y + 2y2) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'y4' equal to zero and attempt to solve: Simplifying y4 = 0 Solving y4 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y4 = 0 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 '(7 + -3y + 2y2)' equal to zero and attempt to solve: Simplifying 7 + -3y + 2y2 = 0 Solving 7 + -3y + 2y2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 3.5 + -1.5y + y2 = 0 Move the constant term to the right: Add '-3.5' to each side of the equation. 3.5 + -1.5y + -3.5 + y2 = 0 + -3.5 Reorder the terms: 3.5 + -3.5 + -1.5y + y2 = 0 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + -1.5y + y2 = 0 + -3.5 -1.5y + y2 = 0 + -3.5 Combine like terms: 0 + -3.5 = -3.5 -1.5y + y2 = -3.5 The y term is -1.5y. Take half its coefficient (-0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. -1.5y + 0.5625 + y2 = -3.5 + 0.5625 Reorder the terms: 0.5625 + -1.5y + y2 = -3.5 + 0.5625 Combine like terms: -3.5 + 0.5625 = -2.9375 0.5625 + -1.5y + y2 = -2.9375 Factor a perfect square on the left side: (y + -0.75)(y + -0.75) = -2.9375 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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