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Simplifying 10y2 + 16y = -20 Reorder the terms: 16y + 10y2 = -20 Solving 16y + 10y2 = -20 Solving for variable 'y'. Reorder the terms: 20 + 16y + 10y2 = -20 + 20 Combine like terms: -20 + 20 = 0 20 + 16y + 10y2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(10 + 8y + 5y2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(10 + 8y + 5y2)' equal to zero and attempt to solve: Simplifying 10 + 8y + 5y2 = 0 Solving 10 + 8y + 5y2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 2 + 1.6y + y2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + 1.6y + -2 + y2 = 0 + -2 Reorder the terms: 2 + -2 + 1.6y + y2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 1.6y + y2 = 0 + -2 1.6y + y2 = 0 + -2 Combine like terms: 0 + -2 = -2 1.6y + y2 = -2 The y term is 1.6y. Take half its coefficient (0.8). Square it (0.64) and add it to both sides. Add '0.64' to each side of the equation. 1.6y + 0.64 + y2 = -2 + 0.64 Reorder the terms: 0.64 + 1.6y + y2 = -2 + 0.64 Combine like terms: -2 + 0.64 = -1.36 0.64 + 1.6y + y2 = -1.36 Factor a perfect square on the left side: (y + 0.8)(y + 0.8) = -1.36 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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