If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying p2 + 12p = 40 Reorder the terms: 12p + p2 = 40 Solving 12p + p2 = 40 Solving for variable 'p'. Reorder the terms: -40 + 12p + p2 = 40 + -40 Combine like terms: 40 + -40 = 0 -40 + 12p + p2 = 0 Begin completing the square. Move the constant term to the right: Add '40' to each side of the equation. -40 + 12p + 40 + p2 = 0 + 40 Reorder the terms: -40 + 40 + 12p + p2 = 0 + 40 Combine like terms: -40 + 40 = 0 0 + 12p + p2 = 0 + 40 12p + p2 = 0 + 40 Combine like terms: 0 + 40 = 40 12p + p2 = 40 The p term is 12p. Take half its coefficient (6). Square it (36) and add it to both sides. Add '36' to each side of the equation. 12p + 36 + p2 = 40 + 36 Reorder the terms: 36 + 12p + p2 = 40 + 36 Combine like terms: 40 + 36 = 76 36 + 12p + p2 = 76 Factor a perfect square on the left side: (p + 6)(p + 6) = 76 Calculate the square root of the right side: 8.717797887 Break this problem into two subproblems by setting (p + 6) equal to 8.717797887 and -8.717797887.Subproblem 1
p + 6 = 8.717797887 Simplifying p + 6 = 8.717797887 Reorder the terms: 6 + p = 8.717797887 Solving 6 + p = 8.717797887 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + p = 8.717797887 + -6 Combine like terms: 6 + -6 = 0 0 + p = 8.717797887 + -6 p = 8.717797887 + -6 Combine like terms: 8.717797887 + -6 = 2.717797887 p = 2.717797887 Simplifying p = 2.717797887Subproblem 2
p + 6 = -8.717797887 Simplifying p + 6 = -8.717797887 Reorder the terms: 6 + p = -8.717797887 Solving 6 + p = -8.717797887 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + p = -8.717797887 + -6 Combine like terms: 6 + -6 = 0 0 + p = -8.717797887 + -6 p = -8.717797887 + -6 Combine like terms: -8.717797887 + -6 = -14.717797887 p = -14.717797887 Simplifying p = -14.717797887Solution
The solution to the problem is based on the solutions from the subproblems. p = {2.717797887, -14.717797887}
| 14y/2y | | 6(2n+3)=9(5n+9)+5 | | 2x+14y=-18 | | 19b-1=4b | | k^2=55-2k | | 2(a+1)=6 | | 5+3x7+(5-3)2/(7-3) | | 27=7c-1 | | 55+x+74+54=180 | | 7=x+3/8 | | 8e-4=60 | | 8y+3(y-3)=6(y+1)-4 | | 7x+13y=19 | | x^2-20=8x | | y=1.76x^2-13.32x+41 | | 7t-t-6=5t-3 | | x-9x=45 | | x-6x=24 | | x-5x=95 | | x+1-(1-x)=x | | 8y+16+3y+9=180 | | x=5.5+1.5y | | 48-98+5x=45-43 | | 3+x=-5-6(-6-x) | | x=35-67 | | (8y+16)+(3y+9)+90=180 | | (Y-5)Y=36 | | 12z+z+6z-1+90=180 | | 4(x-3)=6x-18 | | 12z+1=6z-1 | | a+w=y | | X^2-12=-35 |