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Simplifying 2y4(5y2 + -12y + 9) = 0 Reorder the terms: 2y4(9 + -12y + 5y2) = 0 (9 * 2y4 + -12y * 2y4 + 5y2 * 2y4) = 0 (18y4 + -24y5 + 10y6) = 0 Solving 18y4 + -24y5 + 10y6 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2y4'. 2y4(9 + -12y + 5y2) = 0 Ignore the factor 2.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 '(9 + -12y + 5y2)' equal to zero and attempt to solve: Simplifying 9 + -12y + 5y2 = 0 Solving 9 + -12y + 5y2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 1.8 + -2.4y + y2 = 0 Move the constant term to the right: Add '-1.8' to each side of the equation. 1.8 + -2.4y + -1.8 + y2 = 0 + -1.8 Reorder the terms: 1.8 + -1.8 + -2.4y + y2 = 0 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + -2.4y + y2 = 0 + -1.8 -2.4y + y2 = 0 + -1.8 Combine like terms: 0 + -1.8 = -1.8 -2.4y + y2 = -1.8 The y term is -2.4y. Take half its coefficient (-1.2). Square it (1.44) and add it to both sides. Add '1.44' to each side of the equation. -2.4y + 1.44 + y2 = -1.8 + 1.44 Reorder the terms: 1.44 + -2.4y + y2 = -1.8 + 1.44 Combine like terms: -1.8 + 1.44 = -0.36 1.44 + -2.4y + y2 = -0.36 Factor a perfect square on the left side: (y + -1.2)(y + -1.2) = -0.36 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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