If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3p2 + 15p + 1 = 0 Reorder the terms: 1 + 15p + 3p2 = 0 Solving 1 + 15p + 3p2 = 0 Solving for variable 'p'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 0.3333333333 + 5p + p2 = 0 Move the constant term to the right: Add '-0.3333333333' to each side of the equation. 0.3333333333 + 5p + -0.3333333333 + p2 = 0 + -0.3333333333 Reorder the terms: 0.3333333333 + -0.3333333333 + 5p + p2 = 0 + -0.3333333333 Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000 0.0000000000 + 5p + p2 = 0 + -0.3333333333 5p + p2 = 0 + -0.3333333333 Combine like terms: 0 + -0.3333333333 = -0.3333333333 5p + p2 = -0.3333333333 The p term is 5p. Take half its coefficient (2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. 5p + 6.25 + p2 = -0.3333333333 + 6.25 Reorder the terms: 6.25 + 5p + p2 = -0.3333333333 + 6.25 Combine like terms: -0.3333333333 + 6.25 = 5.9166666667 6.25 + 5p + p2 = 5.9166666667 Factor a perfect square on the left side: (p + 2.5)(p + 2.5) = 5.9166666667 Calculate the square root of the right side: 2.43241992 Break this problem into two subproblems by setting (p + 2.5) equal to 2.43241992 and -2.43241992.Subproblem 1
p + 2.5 = 2.43241992 Simplifying p + 2.5 = 2.43241992 Reorder the terms: 2.5 + p = 2.43241992 Solving 2.5 + p = 2.43241992 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2.5' to each side of the equation. 2.5 + -2.5 + p = 2.43241992 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + p = 2.43241992 + -2.5 p = 2.43241992 + -2.5 Combine like terms: 2.43241992 + -2.5 = -0.06758008 p = -0.06758008 Simplifying p = -0.06758008Subproblem 2
p + 2.5 = -2.43241992 Simplifying p + 2.5 = -2.43241992 Reorder the terms: 2.5 + p = -2.43241992 Solving 2.5 + p = -2.43241992 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2.5' to each side of the equation. 2.5 + -2.5 + p = -2.43241992 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + p = -2.43241992 + -2.5 p = -2.43241992 + -2.5 Combine like terms: -2.43241992 + -2.5 = -4.93241992 p = -4.93241992 Simplifying p = -4.93241992Solution
The solution to the problem is based on the solutions from the subproblems. p = {-0.06758008, -4.93241992}
| X+(x+2)=33 | | -3a+15=45+7a | | 250=3x^2 | | 7.111111111=4.6h | | 6.1(x-8)+2.3(8-x)=7.6 | | 144=(-12)(x+5) | | .02(8.5y-2)=.03 | | 4x+2.89=12.25 | | -3x^2+x-2=0 | | (3x^2-7x-20)(2x-5)=0 | | 27-63x-8-20x=19 | | -3-(8n-7)=n-(n+4) | | 4x-7(x-7)=10 | | 5+x=19 | | 6n+30=10n-42 | | 2x+3=4x+4 | | -12=(-3h-1)+4(2-h) | | 2x+4=y | | 400x+120x=2600 | | 3x=-8 | | 2d^2+2d+4=0 | | 5y=-29+-6 | | -5x+6=21 | | 8c-1g= | | -8c+-72+74=2-8c | | 24y+15=687 | | y=x-9 | | 8a+9b= | | 5x-y=12 | | x+5=-14 | | .5y^2-3y+9=0 | | .25t+7.50=14.00 |