If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 213882.41 = x2 + 177.97x Reorder the terms: 213882.41 = 177.97x + x2 Solving 213882.41 = 177.97x + x2 Solving for variable 'x'. Reorder the terms: 213882.41 + -177.97x + -1x2 = 177.97x + -177.97x + x2 + -1x2 Combine like terms: 177.97x + -177.97x = 0.00 213882.41 + -177.97x + -1x2 = 0.00 + x2 + -1x2 213882.41 + -177.97x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 213882.41 + -177.97x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. -213882.41 + 177.97x + x2 = 0 Move the constant term to the right: Add '213882.41' to each side of the equation. -213882.41 + 177.97x + 213882.41 + x2 = 0 + 213882.41 Reorder the terms: -213882.41 + 213882.41 + 177.97x + x2 = 0 + 213882.41 Combine like terms: -213882.41 + 213882.41 = 0.00 0.00 + 177.97x + x2 = 0 + 213882.41 177.97x + x2 = 0 + 213882.41 Combine like terms: 0 + 213882.41 = 213882.41 177.97x + x2 = 213882.41 The x term is 177.97x. Take half its coefficient (88.985). Square it (7918.330225) and add it to both sides. Add '7918.330225' to each side of the equation. 177.97x + 7918.330225 + x2 = 213882.41 + 7918.330225 Reorder the terms: 7918.330225 + 177.97x + x2 = 213882.41 + 7918.330225 Combine like terms: 213882.41 + 7918.330225 = 221800.740225 7918.330225 + 177.97x + x2 = 221800.740225 Factor a perfect square on the left side: (x + 88.985)(x + 88.985) = 221800.740225 Calculate the square root of the right side: 470.957259446 Break this problem into two subproblems by setting (x + 88.985) equal to 470.957259446 and -470.957259446.Subproblem 1
x + 88.985 = 470.957259446 Simplifying x + 88.985 = 470.957259446 Reorder the terms: 88.985 + x = 470.957259446 Solving 88.985 + x = 470.957259446 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-88.985' to each side of the equation. 88.985 + -88.985 + x = 470.957259446 + -88.985 Combine like terms: 88.985 + -88.985 = 0.000 0.000 + x = 470.957259446 + -88.985 x = 470.957259446 + -88.985 Combine like terms: 470.957259446 + -88.985 = 381.972259446 x = 381.972259446 Simplifying x = 381.972259446Subproblem 2
x + 88.985 = -470.957259446 Simplifying x + 88.985 = -470.957259446 Reorder the terms: 88.985 + x = -470.957259446 Solving 88.985 + x = -470.957259446 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-88.985' to each side of the equation. 88.985 + -88.985 + x = -470.957259446 + -88.985 Combine like terms: 88.985 + -88.985 = 0.000 0.000 + x = -470.957259446 + -88.985 x = -470.957259446 + -88.985 Combine like terms: -470.957259446 + -88.985 = -559.942259446 x = -559.942259446 Simplifying x = -559.942259446Solution
The solution to the problem is based on the solutions from the subproblems. x = {381.972259446, -559.942259446}
| 1-5x^2+4x^4=0 | | 35+35x=360 | | 16x+2+15x+10= | | N-15=-14 | | 3h-7=2 | | -2y-9(7y+8)=8-8(-6-y) | | 3y=-9x+3 | | 5n-3=45 | | 5x+y=330 | | 11=n | | 8v+1=7v+-20 | | (5x-y)=(x+2x+6) | | 4x^2+8x+c=0 | | 6(11x-6)+11=6x-5 | | -8v+6=6(v+1) | | 9(x-4)-10(x-8)= | | 3r-4=2 | | 10+-d=-34+-5d | | 2j-1=1 | | 6n^2-n-2=0 | | 1+2h=9 | | (25.2-2.7*9)= | | 3(x+8)-10=5(x+2)+6 | | -3y+9=3(2y+1) | | -4x^2-14x-12=0 | | -2w=14 | | y=-2(4)+9 | | 464=8(6x+10) | | Cx-cy-cz=0 | | (63/4+25-7.25)-6*(18-16)= | | x^4+8x^3+7x^2-40x-60=0 | | 11=-3(2x+2)+7x |