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 + -5 = 0 Reorder the terms: -5 + 4k + 4k2 = 0 Solving -5 + 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'. -1.25 + k + k2 = 0 Move the constant term to the right: Add '1.25' to each side of the equation. -1.25 + k + 1.25 + k2 = 0 + 1.25 Reorder the terms: -1.25 + 1.25 + k + k2 = 0 + 1.25 Combine like terms: -1.25 + 1.25 = 0.00 0.00 + k + k2 = 0 + 1.25 k + k2 = 0 + 1.25 Combine like terms: 0 + 1.25 = 1.25 k + k2 = 1.25 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 = 1.25 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + k2 = 1.25 + 0.25 Combine like terms: 1.25 + 0.25 = 1.5 1.25 + k2 = 1.5 Factor a perfect square on the left side: (k + 0.5)(k + 0.5) = 1.5 Calculate the square root of the right side: 1.224744871 Break this problem into two subproblems by setting (k + 0.5) equal to 1.224744871 and -1.224744871.Subproblem 1
k + 0.5 = 1.224744871 Simplifying k + 0.5 = 1.224744871 Reorder the terms: 0.5 + k = 1.224744871 Solving 0.5 + k = 1.224744871 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 = 1.224744871 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + k = 1.224744871 + -0.5 k = 1.224744871 + -0.5 Combine like terms: 1.224744871 + -0.5 = 0.724744871 k = 0.724744871 Simplifying k = 0.724744871Subproblem 2
k + 0.5 = -1.224744871 Simplifying k + 0.5 = -1.224744871 Reorder the terms: 0.5 + k = -1.224744871 Solving 0.5 + k = -1.224744871 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 = -1.224744871 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + k = -1.224744871 + -0.5 k = -1.224744871 + -0.5 Combine like terms: -1.224744871 + -0.5 = -1.724744871 k = -1.724744871 Simplifying k = -1.724744871Solution
The solution to the problem is based on the solutions from the subproblems. k = {0.724744871, -1.724744871}
| 2(x+4)=x+11 | | -2m=16-1m | | 10+2r=7x+3 | | 15x^5+21x^4-18x^3=0 | | (6+3x)2=4x-2 | | 10x+7y=7 | | 3m^3-3m+0=0 | | 2.3(3b-4)=3.5b-6b | | x(3x-8)=-5 | | 3n+-7n= | | 6(4n+3)-3n=-150 | | (x-2)(2x+10)-112=0 | | 749-565= | | -5(f+7)=3(3-1) | | 436-190=x | | 5x^2+14x+21=0 | | -(8y+1)-(-7y-8)=5 | | -3-3x=-8-x | | p=5g+5z | | 77=z+39 | | 2x+4x+7=x+17 | | -108=6(6+3x) | | p+183=1752 | | 3x^2+7x=0 | | -67-5=72 | | 8.40-6.8=14.2+6.30 | | -67+5=62 | | 24x^2-38x+15=0 | | 28-k=17 | | k-28=17 | | b^2=-7b | | x/12-5=3.75 |