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Simplifying 6p2 + 4p + 74 = 0 Reorder the terms: 74 + 4p + 6p2 = 0 Solving 74 + 4p + 6p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '2'. 2(37 + 2p + 3p2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(37 + 2p + 3p2)' equal to zero and attempt to solve: Simplifying 37 + 2p + 3p2 = 0 Solving 37 + 2p + 3p2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 12.33333333 + 0.6666666667p + p2 = 0 Move the constant term to the right: Add '-12.33333333' to each side of the equation. 12.33333333 + 0.6666666667p + -12.33333333 + p2 = 0 + -12.33333333 Reorder the terms: 12.33333333 + -12.33333333 + 0.6666666667p + p2 = 0 + -12.33333333 Combine like terms: 12.33333333 + -12.33333333 = 0.00000000 0.00000000 + 0.6666666667p + p2 = 0 + -12.33333333 0.6666666667p + p2 = 0 + -12.33333333 Combine like terms: 0 + -12.33333333 = -12.33333333 0.6666666667p + p2 = -12.33333333 The p term is 0.6666666667p. Take half its coefficient (0.3333333334). Square it (0.1111111112) and add it to both sides. Add '0.1111111112' to each side of the equation. 0.6666666667p + 0.1111111112 + p2 = -12.33333333 + 0.1111111112 Reorder the terms: 0.1111111112 + 0.6666666667p + p2 = -12.33333333 + 0.1111111112 Combine like terms: -12.33333333 + 0.1111111112 = -12.2222222188 0.1111111112 + 0.6666666667p + p2 = -12.2222222188 Factor a perfect square on the left side: (p + 0.3333333334)(p + 0.3333333334) = -12.2222222188 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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