If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2k2 + -48k + -2 = 0 Reorder the terms: -2 + -48k + 2k2 = 0 Solving -2 + -48k + 2k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + -24k + k2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + -24k + k2)' equal to zero and attempt to solve: Simplifying -1 + -24k + k2 = 0 Solving -1 + -24k + k2 = 0 Begin completing the square. Move the constant term to the right: Add '1' to each side of the equation. -1 + -24k + 1 + k2 = 0 + 1 Reorder the terms: -1 + 1 + -24k + k2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -24k + k2 = 0 + 1 -24k + k2 = 0 + 1 Combine like terms: 0 + 1 = 1 -24k + k2 = 1 The k term is -24k. Take half its coefficient (-12). Square it (144) and add it to both sides. Add '144' to each side of the equation. -24k + 144 + k2 = 1 + 144 Reorder the terms: 144 + -24k + k2 = 1 + 144 Combine like terms: 1 + 144 = 145 144 + -24k + k2 = 145 Factor a perfect square on the left side: (k + -12)(k + -12) = 145 Calculate the square root of the right side: 12.041594579 Break this problem into two subproblems by setting (k + -12) equal to 12.041594579 and -12.041594579.Subproblem 1
k + -12 = 12.041594579 Simplifying k + -12 = 12.041594579 Reorder the terms: -12 + k = 12.041594579 Solving -12 + k = 12.041594579 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + k = 12.041594579 + 12 Combine like terms: -12 + 12 = 0 0 + k = 12.041594579 + 12 k = 12.041594579 + 12 Combine like terms: 12.041594579 + 12 = 24.041594579 k = 24.041594579 Simplifying k = 24.041594579Subproblem 2
k + -12 = -12.041594579 Simplifying k + -12 = -12.041594579 Reorder the terms: -12 + k = -12.041594579 Solving -12 + k = -12.041594579 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + k = -12.041594579 + 12 Combine like terms: -12 + 12 = 0 0 + k = -12.041594579 + 12 k = -12.041594579 + 12 Combine like terms: -12.041594579 + 12 = -0.041594579 k = -0.041594579 Simplifying k = -0.041594579Solution
The solution to the problem is based on the solutions from the subproblems. k = {24.041594579, -0.041594579}Solution
k = {24.041594579, -0.041594579}
| 2x+23=9x-25 | | 245=5y+20 | | 3x+5=x-2 | | 5(w-2)-8=-4(-6w+6)-3w | | m^2+20m+27=0 | | 245=20y+5 | | g^2+4g=-3 | | 245=5-20y | | -3q^2-36q=-33 | | 5x^4+10x^2-15=0 | | 4(y+6)=-5(2y-8)+4y | | 2w^2-20w+2=0 | | 6x+3-10x+15=15x-60 | | -8x-16=9 | | 9d^2-32=0 | | 15/2/11/8 | | 6x-2=7-4y | | 4+3+6ab= | | 2x+12=16x | | 32t^2-18u^2=0 | | p=120^2/24^2 | | -x*2+2x-3=0 | | 2x+11y=8 | | 121m^2-144p^2=0 | | 12x-(7x-2)=77 | | -8-8x=7z+22 | | 4t^2+80t=-44 | | -12+4n=6(n+2) | | X^4+3y^2=36 | | 5v+5-2(-5v-1)=3(v-3) | | q^2+6q-19=0 | | z^2+30z=-47 |