If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4k2 + 4k + -1 = 0 Reorder the terms: -1 + 4k + 4k2 = 0 Solving -1 + 4k + 4k2 = 0 Solving for variable 'k'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. -0.25 + k + k2 = 0 Move the constant term to the right: Add '0.25' to each side of the equation. -0.25 + k + 0.25 + k2 = 0 + 0.25 Reorder the terms: -0.25 + 0.25 + k + k2 = 0 + 0.25 Combine like terms: -0.25 + 0.25 = 0.00 0.00 + k + k2 = 0 + 0.25 k + k2 = 0 + 0.25 Combine like terms: 0 + 0.25 = 0.25 k + k2 = 0.25 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. + 0.25 + k2 = 0.25 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + k2 = 0.25 + 0.25 Combine like terms: 0.25 + 0.25 = 0.5 1.25 + k2 = 0.5 Factor a perfect square on the left side: (k + 0.5)(k + 0.5) = 0.5 Calculate the square root of the right side: 0.707106781 Break this problem into two subproblems by setting (k + 0.5) equal to 0.707106781 and -0.707106781.Subproblem 1
k + 0.5 = 0.707106781 Simplifying k + 0.5 = 0.707106781 Reorder the terms: 0.5 + k = 0.707106781 Solving 0.5 + k = 0.707106781 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 = 0.707106781 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + k = 0.707106781 + -0.5 k = 0.707106781 + -0.5 Combine like terms: 0.707106781 + -0.5 = 0.207106781 k = 0.207106781 Simplifying k = 0.207106781Subproblem 2
k + 0.5 = -0.707106781 Simplifying k + 0.5 = -0.707106781 Reorder the terms: 0.5 + k = -0.707106781 Solving 0.5 + k = -0.707106781 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 = -0.707106781 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + k = -0.707106781 + -0.5 k = -0.707106781 + -0.5 Combine like terms: -0.707106781 + -0.5 = -1.207106781 k = -1.207106781 Simplifying k = -1.207106781Solution
The solution to the problem is based on the solutions from the subproblems. k = {0.207106781, -1.207106781}
| x+5(n-4)=70 | | (X+7)(x-2)whenx=-5 | | 7q+9q=48 | | 4(6x-8)=2(16x-12) | | cx+cy=4 | | xa+xb=4 | | 2(w+4w-3)=114 | | ax+bx=4 | | (8+3)+5x=12 | | 4xy+14y+11=0 | | 2(2x+1)4x=162 | | 5x^2+26x-16=8 | | -16t^2+96t+3=0 | | 2(x+4x-3)=114 | | -78=3x-6(5x-14) | | 7s+3s=12 | | x-4.8=2.5 | | 6(b-2.5)=7.6 | | x-4=2.5 | | 6k^2+30k-84=0 | | 12m-36=-180 | | 2(x+x+7)=50 | | 100-2x=x^2 | | (5x+7)(x+4)=0 | | 2j-16=-j-13 | | -5x+14=64 | | 5c+2c=35 | | 42(x+1)whenx=4 | | 10w-18=43 | | -3x-7(2x+2)=190 | | 2y^2-8-3=0 | | ln(3x+8)=ln(6x-2) |