If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2x2 + 21x + 11 = 0 Reorder the terms: 11 + 21x + 2x2 = 0 Solving 11 + 21x + 2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 5.5 + 10.5x + x2 = 0 Move the constant term to the right: Add '-5.5' to each side of the equation. 5.5 + 10.5x + -5.5 + x2 = 0 + -5.5 Reorder the terms: 5.5 + -5.5 + 10.5x + x2 = 0 + -5.5 Combine like terms: 5.5 + -5.5 = 0.0 0.0 + 10.5x + x2 = 0 + -5.5 10.5x + x2 = 0 + -5.5 Combine like terms: 0 + -5.5 = -5.5 10.5x + x2 = -5.5 The x term is 10.5x. Take half its coefficient (5.25). Square it (27.5625) and add it to both sides. Add '27.5625' to each side of the equation. 10.5x + 27.5625 + x2 = -5.5 + 27.5625 Reorder the terms: 27.5625 + 10.5x + x2 = -5.5 + 27.5625 Combine like terms: -5.5 + 27.5625 = 22.0625 27.5625 + 10.5x + x2 = 22.0625 Factor a perfect square on the left side: (x + 5.25)(x + 5.25) = 22.0625 Calculate the square root of the right side: 4.697073557 Break this problem into two subproblems by setting (x + 5.25) equal to 4.697073557 and -4.697073557.Subproblem 1
x + 5.25 = 4.697073557 Simplifying x + 5.25 = 4.697073557 Reorder the terms: 5.25 + x = 4.697073557 Solving 5.25 + x = 4.697073557 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.25' to each side of the equation. 5.25 + -5.25 + x = 4.697073557 + -5.25 Combine like terms: 5.25 + -5.25 = 0.00 0.00 + x = 4.697073557 + -5.25 x = 4.697073557 + -5.25 Combine like terms: 4.697073557 + -5.25 = -0.552926443 x = -0.552926443 Simplifying x = -0.552926443Subproblem 2
x + 5.25 = -4.697073557 Simplifying x + 5.25 = -4.697073557 Reorder the terms: 5.25 + x = -4.697073557 Solving 5.25 + x = -4.697073557 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.25' to each side of the equation. 5.25 + -5.25 + x = -4.697073557 + -5.25 Combine like terms: 5.25 + -5.25 = 0.00 0.00 + x = -4.697073557 + -5.25 x = -4.697073557 + -5.25 Combine like terms: -4.697073557 + -5.25 = -9.947073557 x = -9.947073557 Simplifying x = -9.947073557Solution
The solution to the problem is based on the solutions from the subproblems. x = {-0.552926443, -9.947073557}
| 2k+9=5 | | 9+6d=33 | | -3n+8=35 | | 1+5a=-24 | | 4w+6=50 | | -6n+9=-51 | | 8+5w=-52 | | 10+4a=18 | | 6+2b=26 | | 6-6b=18 | | 5k-4=-44 | | 5w+8=-37 | | -10+7k=-59 | | 7+5t=-18 | | -3w-4=20 | | x^4/x^-7 | | 2w+7=29 | | -2t-6=14 | | -3b+2=-22 | | -5b-2=-42 | | -2+4d=-26 | | 6n+7=49 | | -4-7n=-11 | | 8-6x=-62 | | 20x^2=x+1 | | 5t+1=61 | | -10+5m=-60 | | -6k+8=-52 | | 2k-1=-1 | | -4+2k=-4 | | 6t+6=-12 | | 20x^2=x+2 |