If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2k2 + -3k + -6 = 0 Reorder the terms: -6 + -3k + 2k2 = 0 Solving -6 + -3k + 2k2 = 0 Solving for variable 'k'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -3 + -1.5k + k2 = 0 Move the constant term to the right: Add '3' to each side of the equation. -3 + -1.5k + 3 + k2 = 0 + 3 Reorder the terms: -3 + 3 + -1.5k + k2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1.5k + k2 = 0 + 3 -1.5k + k2 = 0 + 3 Combine like terms: 0 + 3 = 3 -1.5k + k2 = 3 The k term is -1.5k. Take half its coefficient (-0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. -1.5k + 0.5625 + k2 = 3 + 0.5625 Reorder the terms: 0.5625 + -1.5k + k2 = 3 + 0.5625 Combine like terms: 3 + 0.5625 = 3.5625 0.5625 + -1.5k + k2 = 3.5625 Factor a perfect square on the left side: (k + -0.75)(k + -0.75) = 3.5625 Calculate the square root of the right side: 1.887458609 Break this problem into two subproblems by setting (k + -0.75) equal to 1.887458609 and -1.887458609.Subproblem 1
k + -0.75 = 1.887458609 Simplifying k + -0.75 = 1.887458609 Reorder the terms: -0.75 + k = 1.887458609 Solving -0.75 + k = 1.887458609 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '0.75' to each side of the equation. -0.75 + 0.75 + k = 1.887458609 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + k = 1.887458609 + 0.75 k = 1.887458609 + 0.75 Combine like terms: 1.887458609 + 0.75 = 2.637458609 k = 2.637458609 Simplifying k = 2.637458609Subproblem 2
k + -0.75 = -1.887458609 Simplifying k + -0.75 = -1.887458609 Reorder the terms: -0.75 + k = -1.887458609 Solving -0.75 + k = -1.887458609 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '0.75' to each side of the equation. -0.75 + 0.75 + k = -1.887458609 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + k = -1.887458609 + 0.75 k = -1.887458609 + 0.75 Combine like terms: -1.887458609 + 0.75 = -1.137458609 k = -1.137458609 Simplifying k = -1.137458609Solution
The solution to the problem is based on the solutions from the subproblems. k = {2.637458609, -1.137458609}
| 2x+17x=1200 | | 180=6*n | | 15x^2=23x+22 | | 2x-3=(x+2) | | -n=12n-165 | | -10p-8=2q | | 4-8x=-12 | | 34.5=2*3.14*x | | 2t^2+3t-4=0 | | 14-7x=-56 | | 5(2y-1)+2y=y+6 | | (6x-7)(8x+3)=0 | | z+19=2z+16 | | 5t+3=t+23 | | 16t-1=0 | | 1/3x-9=15 | | 3(9g+2)/2=84 | | x*x/x*x-9+3x/x*x-9 | | e^2+10e+9=0 | | 2x+32=-16 | | 20y^2-47y+21=0 | | 152=4*7*4+2*4*x | | 5d+2=3d+14 | | 3xy+4xy+5xy+6xy= | | cos(3x)+-1cos(5x)+cos(10x)=0 | | 60x^2y=12xy | | 8(x-2)=-13.6 | | 8(a+7)=132 | | 4p/9+p/3-1/2=11/6 | | 43.8=7c-1 | | (3x-7)5=(2x-5)12 | | -0.5x^2+x+2.88=0 |