10p^2-100p+20000=0

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Solution for 10p^2-100p+20000=0 equation:


Simplifying
10p2 + -100p + 20000 = 0

Reorder the terms:
20000 + -100p + 10p2 = 0

Solving
20000 + -100p + 10p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '10'.
10(2000 + -10p + p2) = 0

Ignore the factor 10.

Subproblem 1

Set the factor '(2000 + -10p + p2)' equal to zero and attempt to solve: Simplifying 2000 + -10p + p2 = 0 Solving 2000 + -10p + p2 = 0 Begin completing the square. Move the constant term to the right: Add '-2000' to each side of the equation. 2000 + -10p + -2000 + p2 = 0 + -2000 Reorder the terms: 2000 + -2000 + -10p + p2 = 0 + -2000 Combine like terms: 2000 + -2000 = 0 0 + -10p + p2 = 0 + -2000 -10p + p2 = 0 + -2000 Combine like terms: 0 + -2000 = -2000 -10p + p2 = -2000 The p term is -10p. Take half its coefficient (-5). Square it (25) and add it to both sides. Add '25' to each side of the equation. -10p + 25 + p2 = -2000 + 25 Reorder the terms: 25 + -10p + p2 = -2000 + 25 Combine like terms: -2000 + 25 = -1975 25 + -10p + p2 = -1975 Factor a perfect square on the left side: (p + -5)(p + -5) = -1975 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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