If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 18k2 + -103k + 119 = 0 Reorder the terms: 119 + -103k + 18k2 = 0 Solving 119 + -103k + 18k2 = 0 Solving for variable 'k'. Begin completing the square. Divide all terms by 18 the coefficient of the squared term: Divide each side by '18'. 6.611111111 + -5.722222222k + k2 = 0 Move the constant term to the right: Add '-6.611111111' to each side of the equation. 6.611111111 + -5.722222222k + -6.611111111 + k2 = 0 + -6.611111111 Reorder the terms: 6.611111111 + -6.611111111 + -5.722222222k + k2 = 0 + -6.611111111 Combine like terms: 6.611111111 + -6.611111111 = 0.000000000 0.000000000 + -5.722222222k + k2 = 0 + -6.611111111 -5.722222222k + k2 = 0 + -6.611111111 Combine like terms: 0 + -6.611111111 = -6.611111111 -5.722222222k + k2 = -6.611111111 The k term is -5.722222222k. Take half its coefficient (-2.861111111). Square it (8.185956789) and add it to both sides. Add '8.185956789' to each side of the equation. -5.722222222k + 8.185956789 + k2 = -6.611111111 + 8.185956789 Reorder the terms: 8.185956789 + -5.722222222k + k2 = -6.611111111 + 8.185956789 Combine like terms: -6.611111111 + 8.185956789 = 1.574845678 8.185956789 + -5.722222222k + k2 = 1.574845678 Factor a perfect square on the left side: (k + -2.861111111)(k + -2.861111111) = 1.574845678 Calculate the square root of the right side: 1.254928555 Break this problem into two subproblems by setting (k + -2.861111111) equal to 1.254928555 and -1.254928555.Subproblem 1
k + -2.861111111 = 1.254928555 Simplifying k + -2.861111111 = 1.254928555 Reorder the terms: -2.861111111 + k = 1.254928555 Solving -2.861111111 + k = 1.254928555 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2.861111111' to each side of the equation. -2.861111111 + 2.861111111 + k = 1.254928555 + 2.861111111 Combine like terms: -2.861111111 + 2.861111111 = 0.000000000 0.000000000 + k = 1.254928555 + 2.861111111 k = 1.254928555 + 2.861111111 Combine like terms: 1.254928555 + 2.861111111 = 4.116039666 k = 4.116039666 Simplifying k = 4.116039666Subproblem 2
k + -2.861111111 = -1.254928555 Simplifying k + -2.861111111 = -1.254928555 Reorder the terms: -2.861111111 + k = -1.254928555 Solving -2.861111111 + k = -1.254928555 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2.861111111' to each side of the equation. -2.861111111 + 2.861111111 + k = -1.254928555 + 2.861111111 Combine like terms: -2.861111111 + 2.861111111 = 0.000000000 0.000000000 + k = -1.254928555 + 2.861111111 k = -1.254928555 + 2.861111111 Combine like terms: -1.254928555 + 2.861111111 = 1.606182556 k = 1.606182556 Simplifying k = 1.606182556Solution
The solution to the problem is based on the solutions from the subproblems. k = {4.116039666, 1.606182556}
| (5/3)*(5/8) | | 5/3*5/8 | | 9-p=6 | | 10x-8=10x | | 2x=1/2*(x+4y+2z) | | 19x^2+36x-4=0 | | 6-9x=105-30x | | 3x+12=x+72 | | x+3x+5x-6=180 | | 3a-8a=11a | | x^5y^4/x^3y^6 | | 3n^2-16n+21=0 | | a/15+5=4 | | -40-9x=214-44x | | 1150+15x=y | | x+2+3x=57 | | 66-22x=3x+6 | | 10(x+12)=-70 | | 9-x=6 | | z^2+8*z+17=0 | | 2(x-3)+5(x+4)=4(-2x-3)-3(x+4) | | -3+8b=-187 | | 7r-8r= | | 15x^4-21x+240=0 | | y=0.7(200-133) | | 15x^4-105x+240=0 | | 56=(7/8)y | | y=0.7(200-0) | | 3x-1(4/x+1) | | 3x-1((1/x+1)(4)) | | 49n^2+56n+12=0 | | 4m^8-4m^4+9=0 |