If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2p2 + 6p + 3 = 0 Reorder the terms: 3 + 6p + 2p2 = 0 Solving 3 + 6p + 2p2 = 0 Solving for variable 'p'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 1.5 + 3p + p2 = 0 Move the constant term to the right: Add '-1.5' to each side of the equation. 1.5 + 3p + -1.5 + p2 = 0 + -1.5 Reorder the terms: 1.5 + -1.5 + 3p + p2 = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 3p + p2 = 0 + -1.5 3p + p2 = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 3p + p2 = -1.5 The p term is 3p. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3p + 2.25 + p2 = -1.5 + 2.25 Reorder the terms: 2.25 + 3p + p2 = -1.5 + 2.25 Combine like terms: -1.5 + 2.25 = 0.75 2.25 + 3p + p2 = 0.75 Factor a perfect square on the left side: (p + 1.5)(p + 1.5) = 0.75 Calculate the square root of the right side: 0.866025404 Break this problem into two subproblems by setting (p + 1.5) equal to 0.866025404 and -0.866025404.Subproblem 1
p + 1.5 = 0.866025404 Simplifying p + 1.5 = 0.866025404 Reorder the terms: 1.5 + p = 0.866025404 Solving 1.5 + p = 0.866025404 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + p = 0.866025404 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + p = 0.866025404 + -1.5 p = 0.866025404 + -1.5 Combine like terms: 0.866025404 + -1.5 = -0.633974596 p = -0.633974596 Simplifying p = -0.633974596Subproblem 2
p + 1.5 = -0.866025404 Simplifying p + 1.5 = -0.866025404 Reorder the terms: 1.5 + p = -0.866025404 Solving 1.5 + p = -0.866025404 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + p = -0.866025404 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + p = -0.866025404 + -1.5 p = -0.866025404 + -1.5 Combine like terms: -0.866025404 + -1.5 = -2.366025404 p = -2.366025404 Simplifying p = -2.366025404Solution
The solution to the problem is based on the solutions from the subproblems. p = {-0.633974596, -2.366025404}
| 180=(6x-19)+(3x+32) | | -4r^2+3+r=0 | | 2w+17=21+3w | | 12n+25=-35 | | 6r+4=5r-8 | | 6x-1=4x+27 | | 2y-16=y-6 | | 4r^3=r+3 | | (74x-67y)-(56x+8y)= | | 8x^2+45x+58=0 | | 4y+14=7y+1 | | -4.4s+6.2=8.8s | | 3a^2-6ab+3b^2=0 | | 3-2(3x+1)=3x-(x+3) | | 1.33*n=12 | | 1.33*10=12 | | ln(20)-ln(4)= | | f(x)=x^2+10x+15 | | a^2b-4abc+4bc^2=0 | | x=-2.43902439 | | v/6+2=1 | | 3x+7y=155 | | -6.0+0.05x=5.30 | | -1+3d=0 | | 6*o= | | t^3-3t^2-9t+1=0 | | 5(b+7)=2b+29 | | 8-4x=4.6 | | 7b-7=14 | | -6.0+0.05x=5.3 | | 5(r-1)=2r-4 | | m-(-3)=4 |