If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0.25x2 + -207x + 40349 = 0 Reorder the terms: 40349 + -207x + 0.25x2 = 0 Solving 40349 + -207x + 0.25x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.25 the coefficient of the squared term: Divide each side by '0.25'. 161396 + -828x + x2 = 0 Move the constant term to the right: Add '-161396' to each side of the equation. 161396 + -828x + -161396 + x2 = 0 + -161396 Reorder the terms: 161396 + -161396 + -828x + x2 = 0 + -161396 Combine like terms: 161396 + -161396 = 0 0 + -828x + x2 = 0 + -161396 -828x + x2 = 0 + -161396 Combine like terms: 0 + -161396 = -161396 -828x + x2 = -161396 The x term is -828x. Take half its coefficient (-414). Square it (171396) and add it to both sides. Add '171396' to each side of the equation. -828x + 171396 + x2 = -161396 + 171396 Reorder the terms: 171396 + -828x + x2 = -161396 + 171396 Combine like terms: -161396 + 171396 = 10000 171396 + -828x + x2 = 10000 Factor a perfect square on the left side: (x + -414)(x + -414) = 10000 Calculate the square root of the right side: 100 Break this problem into two subproblems by setting (x + -414) equal to 100 and -100.Subproblem 1
x + -414 = 100 Simplifying x + -414 = 100 Reorder the terms: -414 + x = 100 Solving -414 + x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '414' to each side of the equation. -414 + 414 + x = 100 + 414 Combine like terms: -414 + 414 = 0 0 + x = 100 + 414 x = 100 + 414 Combine like terms: 100 + 414 = 514 x = 514 Simplifying x = 514Subproblem 2
x + -414 = -100 Simplifying x + -414 = -100 Reorder the terms: -414 + x = -100 Solving -414 + x = -100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '414' to each side of the equation. -414 + 414 + x = -100 + 414 Combine like terms: -414 + 414 = 0 0 + x = -100 + 414 x = -100 + 414 Combine like terms: -100 + 414 = 314 x = 314 Simplifying x = 314Solution
The solution to the problem is based on the solutions from the subproblems. x = {514, 314}
| -6w+3/5=-7/5 | | 2/9-1/7b=80/441 | | 1/2d+8=19/2 | | -5/7n+4=43/12 | | 4t+2/3=-62/33 | | 9+3n=12 | | -w+3/5=28/5 | | -3/7+t=32/7 | | 4/5m-1/7=79/35 | | 6-1/2k=6 | | 1/6+2k=-131/6 | | 3/8+2/3n=-23/24 | | 4+4/7d=24/7 | | t+6/7=34/7 | | -7a+3/4=-193/4 | | 5t-3/8=253/72 | | 10-2a=28 | | 4n+7/8=163/40 | | 6t-1/2=-25/2 | | x^2-944x+200583=0 | | 2/5x+4=236/55 | | 1+3m=-2 | | 4/7b+2/5=-2/35 | | -1/7+5k=-41/42 | | 3x+10=31/3 | | -4/7b+2/3=82/231 | | 5t+6=-24 | | 3-7k=-4 | | 1/5+5/6a=-109/330 | | 7m+3/8=31/8 | | 3k+7=37 | | 8+2/3x=214/27 |