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Simplifying -5p2 + -45p + -745 = 0 Reorder the terms: -745 + -45p + -5p2 = 0 Solving -745 + -45p + -5p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '-5'. -5(149 + 9p + p2) = 0 Ignore the factor -5.Subproblem 1
Set the factor '(149 + 9p + p2)' equal to zero and attempt to solve: Simplifying 149 + 9p + p2 = 0 Solving 149 + 9p + p2 = 0 Begin completing the square. Move the constant term to the right: Add '-149' to each side of the equation. 149 + 9p + -149 + p2 = 0 + -149 Reorder the terms: 149 + -149 + 9p + p2 = 0 + -149 Combine like terms: 149 + -149 = 0 0 + 9p + p2 = 0 + -149 9p + p2 = 0 + -149 Combine like terms: 0 + -149 = -149 9p + p2 = -149 The p term is 9p. Take half its coefficient (4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. 9p + 20.25 + p2 = -149 + 20.25 Reorder the terms: 20.25 + 9p + p2 = -149 + 20.25 Combine like terms: -149 + 20.25 = -128.75 20.25 + 9p + p2 = -128.75 Factor a perfect square on the left side: (p + 4.5)(p + 4.5) = -128.75 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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