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Simplifying 10p2 + 10 = -4p Reorder the terms: 10 + 10p2 = -4p Solving 10 + 10p2 = -4p Solving for variable 'p'. Reorder the terms: 10 + 4p + 10p2 = -4p + 4p Combine like terms: -4p + 4p = 0 10 + 4p + 10p2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(5 + 2p + 5p2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5 + 2p + 5p2)' equal to zero and attempt to solve: Simplifying 5 + 2p + 5p2 = 0 Solving 5 + 2p + 5p2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 1 + 0.4p + p2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + 0.4p + -1 + p2 = 0 + -1 Reorder the terms: 1 + -1 + 0.4p + p2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 0.4p + p2 = 0 + -1 0.4p + p2 = 0 + -1 Combine like terms: 0 + -1 = -1 0.4p + p2 = -1 The p term is 0.4p. Take half its coefficient (0.2). Square it (0.04) and add it to both sides. Add '0.04' to each side of the equation. 0.4p + 0.04 + p2 = -1 + 0.04 Reorder the terms: 0.04 + 0.4p + p2 = -1 + 0.04 Combine like terms: -1 + 0.04 = -0.96 0.04 + 0.4p + p2 = -0.96 Factor a perfect square on the left side: (p + 0.2)(p + 0.2) = -0.96 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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