If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 24k2 + -6k + -36 = 0 Reorder the terms: -36 + -6k + 24k2 = 0 Solving -36 + -6k + 24k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '6'. 6(-6 + -1k + 4k2) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-6 + -1k + 4k2)' equal to zero and attempt to solve: Simplifying -6 + -1k + 4k2 = 0 Solving -6 + -1k + 4k2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. -1.5 + -0.25k + k2 = 0 Move the constant term to the right: Add '1.5' to each side of the equation. -1.5 + -0.25k + 1.5 + k2 = 0 + 1.5 Reorder the terms: -1.5 + 1.5 + -0.25k + k2 = 0 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + -0.25k + k2 = 0 + 1.5 -0.25k + k2 = 0 + 1.5 Combine like terms: 0 + 1.5 = 1.5 -0.25k + k2 = 1.5 The k term is -0.25k. Take half its coefficient (-0.125). Square it (0.015625) and add it to both sides. Add '0.015625' to each side of the equation. -0.25k + 0.015625 + k2 = 1.5 + 0.015625 Reorder the terms: 0.015625 + -0.25k + k2 = 1.5 + 0.015625 Combine like terms: 1.5 + 0.015625 = 1.515625 0.015625 + -0.25k + k2 = 1.515625 Factor a perfect square on the left side: (k + -0.125)(k + -0.125) = 1.515625 Calculate the square root of the right side: 1.231107225 Break this problem into two subproblems by setting (k + -0.125) equal to 1.231107225 and -1.231107225.Subproblem 1
k + -0.125 = 1.231107225 Simplifying k + -0.125 = 1.231107225 Reorder the terms: -0.125 + k = 1.231107225 Solving -0.125 + k = 1.231107225 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '0.125' to each side of the equation. -0.125 + 0.125 + k = 1.231107225 + 0.125 Combine like terms: -0.125 + 0.125 = 0.000 0.000 + k = 1.231107225 + 0.125 k = 1.231107225 + 0.125 Combine like terms: 1.231107225 + 0.125 = 1.356107225 k = 1.356107225 Simplifying k = 1.356107225Subproblem 2
k + -0.125 = -1.231107225 Simplifying k + -0.125 = -1.231107225 Reorder the terms: -0.125 + k = -1.231107225 Solving -0.125 + k = -1.231107225 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '0.125' to each side of the equation. -0.125 + 0.125 + k = -1.231107225 + 0.125 Combine like terms: -0.125 + 0.125 = 0.000 0.000 + k = -1.231107225 + 0.125 k = -1.231107225 + 0.125 Combine like terms: -1.231107225 + 0.125 = -1.106107225 k = -1.106107225 Simplifying k = -1.106107225Solution
The solution to the problem is based on the solutions from the subproblems. k = {1.356107225, -1.106107225}Solution
k = {1.356107225, -1.106107225}
| H(t)=-16t^2+14t | | 1/3a-3=0 | | 7.6x-39=11.3 | | x^2+5x-6795= | | 8+4x=-x+1 | | x^2+2xy-9x=0 | | 3x^2+y^2-4y=0 | | x^2+5x-6795=0 | | -4x+-28+-30=-34 | | 2x+31=2x-31 | | 2x+-31=2x-31 | | 2x+-2=2x-31 | | 2x+-31=-2x-31 | | m^5=-15 | | 1x+5y+.5z=100 | | 3a-6=-4 | | 6y-21=2y+23 | | (4/3)(3.14)(56)^3 | | 21p-9=33+7p | | 2m+36=3m+30 | | 4/x=100/1000 | | 6/x=12/20 | | 9+4(x-8)=7-8(x-5) | | 10/20=x/100 | | k/35=3/7 | | m/7=4/14 | | 4a-10=432 | | ax+1=bx+y | | (((4*2)-3)/(2*-1))-1 | | 1400=500x | | 12x+25=5+2x | | 9-3a=-8a+4 |