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Simplifying 5a2 + -25a + 300 = 0 Reorder the terms: 300 + -25a + 5a2 = 0 Solving 300 + -25a + 5a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '5'. 5(60 + -5a + a2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(60 + -5a + a2)' equal to zero and attempt to solve: Simplifying 60 + -5a + a2 = 0 Solving 60 + -5a + a2 = 0 Begin completing the square. Move the constant term to the right: Add '-60' to each side of the equation. 60 + -5a + -60 + a2 = 0 + -60 Reorder the terms: 60 + -60 + -5a + a2 = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -5a + a2 = 0 + -60 -5a + a2 = 0 + -60 Combine like terms: 0 + -60 = -60 -5a + a2 = -60 The a term is -5a. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5a + 6.25 + a2 = -60 + 6.25 Reorder the terms: 6.25 + -5a + a2 = -60 + 6.25 Combine like terms: -60 + 6.25 = -53.75 6.25 + -5a + a2 = -53.75 Factor a perfect square on the left side: (a + -2.5)(a + -2.5) = -53.75 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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