If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 7k2 = 1 + -1k Solving 7k2 = 1 + -1k Solving for variable 'k'. Reorder the terms: -1 + k + 7k2 = 1 + -1k + -1 + k Reorder the terms: -1 + k + 7k2 = 1 + -1 + -1k + k Combine like terms: 1 + -1 = 0 -1 + k + 7k2 = 0 + -1k + k -1 + k + 7k2 = -1k + k Combine like terms: -1k + k = 0 -1 + k + 7k2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. -0.1428571429 + 0.1428571429k + k2 = 0 Move the constant term to the right: Add '0.1428571429' to each side of the equation. -0.1428571429 + 0.1428571429k + 0.1428571429 + k2 = 0 + 0.1428571429 Reorder the terms: -0.1428571429 + 0.1428571429 + 0.1428571429k + k2 = 0 + 0.1428571429 Combine like terms: -0.1428571429 + 0.1428571429 = 0.0000000000 0.0000000000 + 0.1428571429k + k2 = 0 + 0.1428571429 0.1428571429k + k2 = 0 + 0.1428571429 Combine like terms: 0 + 0.1428571429 = 0.1428571429 0.1428571429k + k2 = 0.1428571429 The k term is k. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. 0.1428571429k + 0.25 + k2 = 0.1428571429 + 0.25 Reorder the terms: 0.25 + 0.1428571429k + k2 = 0.1428571429 + 0.25 Combine like terms: 0.1428571429 + 0.25 = 0.3928571429 0.25 + 0.1428571429k + k2 = 0.3928571429 Factor a perfect square on the left side: (k + 0.5)(k + 0.5) = 0.3928571429 Calculate the square root of the right side: 0.626783171 Break this problem into two subproblems by setting (k + 0.5) equal to 0.626783171 and -0.626783171.Subproblem 1
k + 0.5 = 0.626783171 Simplifying k + 0.5 = 0.626783171 Reorder the terms: 0.5 + k = 0.626783171 Solving 0.5 + k = 0.626783171 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + k = 0.626783171 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + k = 0.626783171 + -0.5 k = 0.626783171 + -0.5 Combine like terms: 0.626783171 + -0.5 = 0.126783171 k = 0.126783171 Simplifying k = 0.126783171Subproblem 2
k + 0.5 = -0.626783171 Simplifying k + 0.5 = -0.626783171 Reorder the terms: 0.5 + k = -0.626783171 Solving 0.5 + k = -0.626783171 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + k = -0.626783171 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + k = -0.626783171 + -0.5 k = -0.626783171 + -0.5 Combine like terms: -0.626783171 + -0.5 = -1.126783171 k = -1.126783171 Simplifying k = -1.126783171Solution
The solution to the problem is based on the solutions from the subproblems. k = {0.126783171, -1.126783171}
| -6y-2=5-5y | | b/2-1=3 | | 4x-4+y=80 | | 10h-12=68 | | -10.5t^2+66.3t+6=0 | | 5x^22y^2= | | 600=10*x^2 | | 5x+8+3x=72 | | 4p^2+8=12 | | 3x-(1/8)=11 | | 9m=25m+22 | | 49n^2+1=5 | | 4x+-4+2x+10+2y=80 | | 4p+7=49 | | 8x+5=2x | | 3/4/1/6= | | -10x+2y=-32 | | 31=x+6x+10 | | (y)(y)-3y-44=10 | | 6a^2+6=144 | | 3n^2+6=123 | | 0.5+0.6x=0.2x+0.11 | | (2-5i)(3+2i)= | | 5y/4=20 | | 4x+9+5x=117 | | 16x^2+93x-18= | | 1/5x-1/4x | | -3/x=-7 | | 23/4*a=191/4 | | x/9-9=0 | | 16+14x=15x | | 5-2i/1-4i= |