If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying p2 + -4p + -91 = 7 Reorder the terms: -91 + -4p + p2 = 7 Solving -91 + -4p + p2 = 7 Solving for variable 'p'. Reorder the terms: -91 + -7 + -4p + p2 = 7 + -7 Combine like terms: -91 + -7 = -98 -98 + -4p + p2 = 7 + -7 Combine like terms: 7 + -7 = 0 -98 + -4p + p2 = 0 Begin completing the square. Move the constant term to the right: Add '98' to each side of the equation. -98 + -4p + 98 + p2 = 0 + 98 Reorder the terms: -98 + 98 + -4p + p2 = 0 + 98 Combine like terms: -98 + 98 = 0 0 + -4p + p2 = 0 + 98 -4p + p2 = 0 + 98 Combine like terms: 0 + 98 = 98 -4p + p2 = 98 The p term is -4p. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4p + 4 + p2 = 98 + 4 Reorder the terms: 4 + -4p + p2 = 98 + 4 Combine like terms: 98 + 4 = 102 4 + -4p + p2 = 102 Factor a perfect square on the left side: (p + -2)(p + -2) = 102 Calculate the square root of the right side: 10.099504938 Break this problem into two subproblems by setting (p + -2) equal to 10.099504938 and -10.099504938.Subproblem 1
p + -2 = 10.099504938 Simplifying p + -2 = 10.099504938 Reorder the terms: -2 + p = 10.099504938 Solving -2 + p = 10.099504938 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + p = 10.099504938 + 2 Combine like terms: -2 + 2 = 0 0 + p = 10.099504938 + 2 p = 10.099504938 + 2 Combine like terms: 10.099504938 + 2 = 12.099504938 p = 12.099504938 Simplifying p = 12.099504938Subproblem 2
p + -2 = -10.099504938 Simplifying p + -2 = -10.099504938 Reorder the terms: -2 + p = -10.099504938 Solving -2 + p = -10.099504938 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + p = -10.099504938 + 2 Combine like terms: -2 + 2 = 0 0 + p = -10.099504938 + 2 p = -10.099504938 + 2 Combine like terms: -10.099504938 + 2 = -8.099504938 p = -8.099504938 Simplifying p = -8.099504938Solution
The solution to the problem is based on the solutions from the subproblems. p = {12.099504938, -8.099504938}
| p^2-12p+23=0 | | 16x^2-24x+9=16 | | 5a-2b=3 | | 18x^2-25=0 | | 23x-12=16x+21 | | -2x+6=6x+3 | | 35x^2-21x=0 | | 10x+9-9X=12 | | 5(2z-1)-2(z+8)=6(z+1) | | -5(x+9)-44=2-61 | | 23x+8-25x=3-5 | | x/-8=-3-(-6) | | 9x+14-8=-6-13 | | 7-7=16x+5x | | 64=9t-17t | | 4x-11=57 | | 14-13=x/-4 | | tn=7n+3 | | 12x=9-(-15) | | 4w-10w=-48 | | 1/x-1-1/x=2/x | | y+3=5+8 | | -5-4=-2+x | | 21-42=3(x-1)-6 | | (27/4)/(15/8) | | -5(x+1)-18=15+2 | | 6y=5(y+16) | | -9-5=9x+3-8x | | 8x+4-7=13 | | x/33=-40+17 | | 4x-5(3x+10)=26 | | 30-12=3(x-7) |