If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 91000 = 3408x2 + 5437x + 5449 Reorder the terms: 91000 = 5449 + 5437x + 3408x2 Solving 91000 = 5449 + 5437x + 3408x2 Solving for variable 'x'. Combine like terms: 91000 + -5449 = 85551 85551 + -5437x + -3408x2 = 5449 + 5437x + 3408x2 + -5449 + -5437x + -3408x2 Reorder the terms: 85551 + -5437x + -3408x2 = 5449 + -5449 + 5437x + -5437x + 3408x2 + -3408x2 Combine like terms: 5449 + -5449 = 0 85551 + -5437x + -3408x2 = 0 + 5437x + -5437x + 3408x2 + -3408x2 85551 + -5437x + -3408x2 = 5437x + -5437x + 3408x2 + -3408x2 Combine like terms: 5437x + -5437x = 0 85551 + -5437x + -3408x2 = 0 + 3408x2 + -3408x2 85551 + -5437x + -3408x2 = 3408x2 + -3408x2 Combine like terms: 3408x2 + -3408x2 = 0 85551 + -5437x + -3408x2 = 0 Begin completing the square. Divide all terms by -3408 the coefficient of the squared term: Divide each side by '-3408'. -25.10299296 + 1.59536385x + x2 = 0 Move the constant term to the right: Add '25.10299296' to each side of the equation. -25.10299296 + 1.59536385x + 25.10299296 + x2 = 0 + 25.10299296 Reorder the terms: -25.10299296 + 25.10299296 + 1.59536385x + x2 = 0 + 25.10299296 Combine like terms: -25.10299296 + 25.10299296 = 0.00000000 0.00000000 + 1.59536385x + x2 = 0 + 25.10299296 1.59536385x + x2 = 0 + 25.10299296 Combine like terms: 0 + 25.10299296 = 25.10299296 1.59536385x + x2 = 25.10299296 The x term is 1.59536385x. Take half its coefficient (0.797681925). Square it (0.6362964535) and add it to both sides. Add '0.6362964535' to each side of the equation. 1.59536385x + 0.6362964535 + x2 = 25.10299296 + 0.6362964535 Reorder the terms: 0.6362964535 + 1.59536385x + x2 = 25.10299296 + 0.6362964535 Combine like terms: 25.10299296 + 0.6362964535 = 25.7392894135 0.6362964535 + 1.59536385x + x2 = 25.7392894135 Factor a perfect square on the left side: (x + 0.797681925)(x + 0.797681925) = 25.7392894135 Calculate the square root of the right side: 5.073390327 Break this problem into two subproblems by setting (x + 0.797681925) equal to 5.073390327 and -5.073390327.Subproblem 1
x + 0.797681925 = 5.073390327 Simplifying x + 0.797681925 = 5.073390327 Reorder the terms: 0.797681925 + x = 5.073390327 Solving 0.797681925 + x = 5.073390327 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.797681925' to each side of the equation. 0.797681925 + -0.797681925 + x = 5.073390327 + -0.797681925 Combine like terms: 0.797681925 + -0.797681925 = 0.000000000 0.000000000 + x = 5.073390327 + -0.797681925 x = 5.073390327 + -0.797681925 Combine like terms: 5.073390327 + -0.797681925 = 4.275708402 x = 4.275708402 Simplifying x = 4.275708402Subproblem 2
x + 0.797681925 = -5.073390327 Simplifying x + 0.797681925 = -5.073390327 Reorder the terms: 0.797681925 + x = -5.073390327 Solving 0.797681925 + x = -5.073390327 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.797681925' to each side of the equation. 0.797681925 + -0.797681925 + x = -5.073390327 + -0.797681925 Combine like terms: 0.797681925 + -0.797681925 = 0.000000000 0.000000000 + x = -5.073390327 + -0.797681925 x = -5.073390327 + -0.797681925 Combine like terms: -5.073390327 + -0.797681925 = -5.871072252 x = -5.871072252 Simplifying x = -5.871072252Solution
The solution to the problem is based on the solutions from the subproblems. x = {4.275708402, -5.871072252}
| 5x-3=-15 | | 34*712=x | | (-42)+x=-61 | | 0.2(3y+2)=2.6y-1.6 | | 41+x=-27 | | x-34=712 | | (-15)+x=16 | | -9x+10=37 | | 6x-7/2=32 | | 5y+12=-3y+12 | | 63+x=30 | | -1=5a+9 | | n-154=n*12 | | x-(-3)=43 | | 9d+10=-71 | | n-154=n+12 | | M-(-0.7)=-1.2 | | 0=x^2-50x-10000 | | -4(2+3x)+11=-15x-3 | | (-33)+x=-70 | | 2(5p-2)=46 | | 1+0.66w+0.50=2w | | y+2=4(x-3) | | x-(-21)=80 | | 4r-5=7 | | (-95)+x=2 | | 49=16+3 | | 9-2(x+4)=2x+13 | | x-48=41 | | 16-y=16 | | 2(5y-3)=14 | | 5(2x-7)-(4x-5)=-10(2x-1) |