If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4k2 + 10k + 5 = 0 Reorder the terms: 5 + 10k + 4k2 = 0 Solving 5 + 10k + 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 + 2.5k + k2 = 0 Move the constant term to the right: Add '-1.25' to each side of the equation. 1.25 + 2.5k + -1.25 + k2 = 0 + -1.25 Reorder the terms: 1.25 + -1.25 + 2.5k + k2 = 0 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + 2.5k + k2 = 0 + -1.25 2.5k + k2 = 0 + -1.25 Combine like terms: 0 + -1.25 = -1.25 2.5k + k2 = -1.25 The k term is 2.5k. Take half its coefficient (1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. 2.5k + 1.5625 + k2 = -1.25 + 1.5625 Reorder the terms: 1.5625 + 2.5k + k2 = -1.25 + 1.5625 Combine like terms: -1.25 + 1.5625 = 0.3125 1.5625 + 2.5k + k2 = 0.3125 Factor a perfect square on the left side: (k + 1.25)(k + 1.25) = 0.3125 Calculate the square root of the right side: 0.559016994 Break this problem into two subproblems by setting (k + 1.25) equal to 0.559016994 and -0.559016994.Subproblem 1
k + 1.25 = 0.559016994 Simplifying k + 1.25 = 0.559016994 Reorder the terms: 1.25 + k = 0.559016994 Solving 1.25 + k = 0.559016994 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1.25' to each side of the equation. 1.25 + -1.25 + k = 0.559016994 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + k = 0.559016994 + -1.25 k = 0.559016994 + -1.25 Combine like terms: 0.559016994 + -1.25 = -0.690983006 k = -0.690983006 Simplifying k = -0.690983006Subproblem 2
k + 1.25 = -0.559016994 Simplifying k + 1.25 = -0.559016994 Reorder the terms: 1.25 + k = -0.559016994 Solving 1.25 + k = -0.559016994 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1.25' to each side of the equation. 1.25 + -1.25 + k = -0.559016994 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + k = -0.559016994 + -1.25 k = -0.559016994 + -1.25 Combine like terms: -0.559016994 + -1.25 = -1.809016994 k = -1.809016994 Simplifying k = -1.809016994Solution
The solution to the problem is based on the solutions from the subproblems. k = {-0.690983006, -1.809016994}
| X(6x-4)+2=6x(x-2)+x | | cos^2(4x)=0 | | 4x(21+3)-3= | | y+62=91 | | 3/4+5/6-1/2 | | 7/13+2/13 | | 10x^2-30x-8=0 | | x/2+1/3=4/1 | | 5m^2+6m+1=0 | | X-7.6=-21.9 | | 6-5/v+2=-4/v-1 | | 6-(5/v+2)=(-4/(v-1)) | | x/2+1/3=4 | | 5x+29y=-11 | | q^2+50q+49=0 | | 7tanx-4=0 | | A(3x-8)=18x+b | | y=12-4 | | 1/3x+1/2x+7=5/6x+5+2 | | 5x^2=1+2x | | 9x+67=7.6x+16 | | 2y-3=-13 | | 64/2x=24 | | 4(x-1)=-x-29 | | 12s-5s=3.5 | | 4q^2-7pq-9q+7p= | | 19t-1=4t+11 | | 2x+3=2x+x-2x-1 | | x-43=10 | | (4+3i)= | | 3x+1=x-19 | | 9w-8=6w-2 |