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Simplifying -25p2 + 1200p = 14000000 Reorder the terms: 1200p + -25p2 = 14000000 Solving 1200p + -25p2 = 14000000 Solving for variable 'p'. Reorder the terms: -14000000 + 1200p + -25p2 = 14000000 + -14000000 Combine like terms: 14000000 + -14000000 = 0 -14000000 + 1200p + -25p2 = 0 Factor out the Greatest Common Factor (GCF), '25'. 25(-560000 + 48p + -1p2) = 0 Ignore the factor 25.Subproblem 1
Set the factor '(-560000 + 48p + -1p2)' equal to zero and attempt to solve: Simplifying -560000 + 48p + -1p2 = 0 Solving -560000 + 48p + -1p2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 560000 + -48p + p2 = 0 Move the constant term to the right: Add '-560000' to each side of the equation. 560000 + -48p + -560000 + p2 = 0 + -560000 Reorder the terms: 560000 + -560000 + -48p + p2 = 0 + -560000 Combine like terms: 560000 + -560000 = 0 0 + -48p + p2 = 0 + -560000 -48p + p2 = 0 + -560000 Combine like terms: 0 + -560000 = -560000 -48p + p2 = -560000 The p term is -48p. Take half its coefficient (-24). Square it (576) and add it to both sides. Add '576' to each side of the equation. -48p + 576 + p2 = -560000 + 576 Reorder the terms: 576 + -48p + p2 = -560000 + 576 Combine like terms: -560000 + 576 = -559424 576 + -48p + p2 = -559424 Factor a perfect square on the left side: (p + -24)(p + -24) = -559424 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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