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Simplifying 5(y2 + 6y + 10) = 0 Reorder the terms: 5(10 + 6y + y2) = 0 (10 * 5 + 6y * 5 + y2 * 5) = 0 (50 + 30y + 5y2) = 0 Solving 50 + 30y + 5y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '5'. 5(10 + 6y + y2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(10 + 6y + y2)' equal to zero and attempt to solve: Simplifying 10 + 6y + y2 = 0 Solving 10 + 6y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-10' to each side of the equation. 10 + 6y + -10 + y2 = 0 + -10 Reorder the terms: 10 + -10 + 6y + y2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 6y + y2 = 0 + -10 6y + y2 = 0 + -10 Combine like terms: 0 + -10 = -10 6y + y2 = -10 The y term is 6y. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6y + 9 + y2 = -10 + 9 Reorder the terms: 9 + 6y + y2 = -10 + 9 Combine like terms: -10 + 9 = -1 9 + 6y + y2 = -1 Factor a perfect square on the left side: (y + 3)(y + 3) = -1 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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