If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 6k2 + 5k + -3 = 0 Reorder the terms: -3 + 5k + 6k2 = 0 Solving -3 + 5k + 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'. -0.5 + 0.8333333333k + k2 = 0 Move the constant term to the right: Add '0.5' to each side of the equation. -0.5 + 0.8333333333k + 0.5 + k2 = 0 + 0.5 Reorder the terms: -0.5 + 0.5 + 0.8333333333k + k2 = 0 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 0.8333333333k + k2 = 0 + 0.5 0.8333333333k + k2 = 0 + 0.5 Combine like terms: 0 + 0.5 = 0.5 0.8333333333k + k2 = 0.5 The k term is 0.8333333333k. Take half its coefficient (0.4166666667). Square it (0.1736111111) and add it to both sides. Add '0.1736111111' to each side of the equation. 0.8333333333k + 0.1736111111 + k2 = 0.5 + 0.1736111111 Reorder the terms: 0.1736111111 + 0.8333333333k + k2 = 0.5 + 0.1736111111 Combine like terms: 0.5 + 0.1736111111 = 0.6736111111 0.1736111111 + 0.8333333333k + k2 = 0.6736111111 Factor a perfect square on the left side: (k + 0.4166666667)(k + 0.4166666667) = 0.6736111111 Calculate the square root of the right side: 0.82073815 Break this problem into two subproblems by setting (k + 0.4166666667) equal to 0.82073815 and -0.82073815.Subproblem 1
k + 0.4166666667 = 0.82073815 Simplifying k + 0.4166666667 = 0.82073815 Reorder the terms: 0.4166666667 + k = 0.82073815 Solving 0.4166666667 + k = 0.82073815 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.4166666667' to each side of the equation. 0.4166666667 + -0.4166666667 + k = 0.82073815 + -0.4166666667 Combine like terms: 0.4166666667 + -0.4166666667 = 0.0000000000 0.0000000000 + k = 0.82073815 + -0.4166666667 k = 0.82073815 + -0.4166666667 Combine like terms: 0.82073815 + -0.4166666667 = 0.4040714833 k = 0.4040714833 Simplifying k = 0.4040714833Subproblem 2
k + 0.4166666667 = -0.82073815 Simplifying k + 0.4166666667 = -0.82073815 Reorder the terms: 0.4166666667 + k = -0.82073815 Solving 0.4166666667 + k = -0.82073815 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.4166666667' to each side of the equation. 0.4166666667 + -0.4166666667 + k = -0.82073815 + -0.4166666667 Combine like terms: 0.4166666667 + -0.4166666667 = 0.0000000000 0.0000000000 + k = -0.82073815 + -0.4166666667 k = -0.82073815 + -0.4166666667 Combine like terms: -0.82073815 + -0.4166666667 = -1.2374048167 k = -1.2374048167 Simplifying k = -1.2374048167Solution
The solution to the problem is based on the solutions from the subproblems. k = {0.4040714833, -1.2374048167}
| 8(x+3)+4=44 | | 4x^2=-x+5 | | 0.50x+0.15(70)=45.5 | | 6c^2=20+26c | | x^2-2=47 | | V^2=-35-12v | | 4t-t-5=2t-3 | | -2x+21=5x+14 | | M^2-11m+10=0 | | 7x^2-105x-49=0 | | 7v=-13 | | n^2-3n=90 | | -4(7x-4)+7=-28x+23 | | 4(m-2)-(m+3)=m-1 | | 6-3(4k+1)=5+(10-8k) | | 4x-16y=80 | | 44+x=180 | | x+x+3=19 | | 2(x-3)+(x+3)=6x | | 3x(6x+3)=4(2x-7)3(3x+2) | | 2(h+2)+7=5(h+1) | | 204-2x=34x+16 | | 14-358x=69x+400 | | -8(n-7)=3n+111 | | 5(2x-3)=2(x+7)+11 | | 2y+4x=130 | | 3(x+22)=4(x+12) | | x=-36.363636363636 | | 0.3u+0.2=2 | | P+4=6 | | 8=-6b+2b | | 6-9x=45-16x |