If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 6k2 + -3k + -1 = 0 Reorder the terms: -1 + -3k + 6k2 = 0 Solving -1 + -3k + 6k2 = 0 Solving for variable 'k'. Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. -0.1666666667 + -0.5k + k2 = 0 Move the constant term to the right: Add '0.1666666667' to each side of the equation. -0.1666666667 + -0.5k + 0.1666666667 + k2 = 0 + 0.1666666667 Reorder the terms: -0.1666666667 + 0.1666666667 + -0.5k + k2 = 0 + 0.1666666667 Combine like terms: -0.1666666667 + 0.1666666667 = 0.0000000000 0.0000000000 + -0.5k + k2 = 0 + 0.1666666667 -0.5k + k2 = 0 + 0.1666666667 Combine like terms: 0 + 0.1666666667 = 0.1666666667 -0.5k + k2 = 0.1666666667 The k term is -0.5k. Take half its coefficient (-0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. -0.5k + 0.0625 + k2 = 0.1666666667 + 0.0625 Reorder the terms: 0.0625 + -0.5k + k2 = 0.1666666667 + 0.0625 Combine like terms: 0.1666666667 + 0.0625 = 0.2291666667 0.0625 + -0.5k + k2 = 0.2291666667 Factor a perfect square on the left side: (k + -0.25)(k + -0.25) = 0.2291666667 Calculate the square root of the right side: 0.478713554 Break this problem into two subproblems by setting (k + -0.25) equal to 0.478713554 and -0.478713554.Subproblem 1
k + -0.25 = 0.478713554 Simplifying k + -0.25 = 0.478713554 Reorder the terms: -0.25 + k = 0.478713554 Solving -0.25 + k = 0.478713554 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '0.25' to each side of the equation. -0.25 + 0.25 + k = 0.478713554 + 0.25 Combine like terms: -0.25 + 0.25 = 0.00 0.00 + k = 0.478713554 + 0.25 k = 0.478713554 + 0.25 Combine like terms: 0.478713554 + 0.25 = 0.728713554 k = 0.728713554 Simplifying k = 0.728713554Subproblem 2
k + -0.25 = -0.478713554 Simplifying k + -0.25 = -0.478713554 Reorder the terms: -0.25 + k = -0.478713554 Solving -0.25 + k = -0.478713554 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '0.25' to each side of the equation. -0.25 + 0.25 + k = -0.478713554 + 0.25 Combine like terms: -0.25 + 0.25 = 0.00 0.00 + k = -0.478713554 + 0.25 k = -0.478713554 + 0.25 Combine like terms: -0.478713554 + 0.25 = -0.228713554 k = -0.228713554 Simplifying k = -0.228713554Solution
The solution to the problem is based on the solutions from the subproblems. k = {0.728713554, -0.228713554}
| 3/4*x=5 | | -1.7-2.8=-x | | 2y^2+6y+16=0 | | 16d+40-24d+27=-21 | | 32+n=50 | | m-10=90 | | 2y+5=4y-15 | | -2(x+6)-5=3(x+1) | | 7(x-1)=2x+3 | | =(3.33x(Tmax-10))-(0.084x(Tmax-10.0)2) | | 5.97=1/3x | | -4-4x=-6+7x | | cos(x-30)=0.12 | | =(.333*(25-10))-(0.084*(15)2) | | 3+12=-14-10x | | 5y+8=2y+23 | | 12+3b=45 | | 4(x-2)=x-1 | | 30=2(x+y) | | 6x-6=-60 | | (3/2)x-(1/2)=(5/6) | | -1/3x=3=2/3x-2 | | 26mi=km | | 3.6*z=18 | | 11x+6=138 | | x-3+2x-4=-x+5 | | -8+3x-2x=5x+5+3 | | 3z/8-4=7 | | y=30+9x-3x^2 | | (y-4)/(x-8)=10/15 | | 5x+2=9x+10 | | 13x/1x=0 |