If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying k2 + -6k + -7 = 5 Reorder the terms: -7 + -6k + k2 = 5 Solving -7 + -6k + k2 = 5 Solving for variable 'k'. Reorder the terms: -7 + -5 + -6k + k2 = 5 + -5 Combine like terms: -7 + -5 = -12 -12 + -6k + k2 = 5 + -5 Combine like terms: 5 + -5 = 0 -12 + -6k + k2 = 0 Begin completing the square. Move the constant term to the right: Add '12' to each side of the equation. -12 + -6k + 12 + k2 = 0 + 12 Reorder the terms: -12 + 12 + -6k + k2 = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -6k + k2 = 0 + 12 -6k + k2 = 0 + 12 Combine like terms: 0 + 12 = 12 -6k + k2 = 12 The k term is -6k. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6k + 9 + k2 = 12 + 9 Reorder the terms: 9 + -6k + k2 = 12 + 9 Combine like terms: 12 + 9 = 21 9 + -6k + k2 = 21 Factor a perfect square on the left side: (k + -3)(k + -3) = 21 Calculate the square root of the right side: 4.582575695 Break this problem into two subproblems by setting (k + -3) equal to 4.582575695 and -4.582575695.Subproblem 1
k + -3 = 4.582575695 Simplifying k + -3 = 4.582575695 Reorder the terms: -3 + k = 4.582575695 Solving -3 + k = 4.582575695 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + k = 4.582575695 + 3 Combine like terms: -3 + 3 = 0 0 + k = 4.582575695 + 3 k = 4.582575695 + 3 Combine like terms: 4.582575695 + 3 = 7.582575695 k = 7.582575695 Simplifying k = 7.582575695Subproblem 2
k + -3 = -4.582575695 Simplifying k + -3 = -4.582575695 Reorder the terms: -3 + k = -4.582575695 Solving -3 + k = -4.582575695 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + k = -4.582575695 + 3 Combine like terms: -3 + 3 = 0 0 + k = -4.582575695 + 3 k = -4.582575695 + 3 Combine like terms: -4.582575695 + 3 = -1.582575695 k = -1.582575695 Simplifying k = -1.582575695Solution
The solution to the problem is based on the solutions from the subproblems. k = {7.582575695, -1.582575695}
| n^2-4n-39=-7 | | 12-5=3b | | n^2-4n-39=7 | | b^2+20b+55=-9 | | 3p^2-9p=84 | | -63-x=82 | | 8r^2=24-16r | | 12-(x+5)=14-2x | | n^2=10+3n | | 4x^2-8x=60 | | m^2=-7+8m | | x/6+8=11 | | 6x^2+6x=72 | | 8x+9x-2y-15=8x | | 3(3p+1)=2(5p+6) | | 4k^2+48k=-128 | | 3x+8=6x-10 | | 8y-3=57+12 | | 5n+34=-2(17n) | | 4(2x-3)=6x-20 | | -6x-2+7x=8 | | -19=-3x-4x+9 | | 7x^2-800x+10000=0 | | (x+1)(5x-5)=-98 | | (x-5)(5x+1)=-5 | | 8a+5b+2b-5a= | | 66-7x=11x+18 | | x*2-5=3 | | 37-4*7= | | 8a+5b=2b-5a | | 2x+92=9x-13 | | x^4-4x^3=40+17x |