8x^2+1331x=-125

Simple and best practice solution for 8x^2+1331x=-125 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 8x^2+1331x=-125 equation:


Simplifying
8x2 + 1331x = -125

Reorder the terms:
1331x + 8x2 = -125

Solving
1331x + 8x2 = -125

Solving for variable 'x'.

Reorder the terms:
125 + 1331x + 8x2 = -125 + 125

Combine like terms: -125 + 125 = 0
125 + 1331x + 8x2 = 0

Begin completing the square.  Divide all terms by
8 the coefficient of the squared term: 

Divide each side by '8'.
15.625 + 166.375x + x2 = 0

Move the constant term to the right:

Add '-15.625' to each side of the equation.
15.625 + 166.375x + -15.625 + x2 = 0 + -15.625

Reorder the terms:
15.625 + -15.625 + 166.375x + x2 = 0 + -15.625

Combine like terms: 15.625 + -15.625 = 0.000
0.000 + 166.375x + x2 = 0 + -15.625
166.375x + x2 = 0 + -15.625

Combine like terms: 0 + -15.625 = -15.625
166.375x + x2 = -15.625

The x term is 166.375x.  Take half its coefficient (83.1875).
Square it (6920.160156) and add it to both sides.

Add '6920.160156' to each side of the equation.
166.375x + 6920.160156 + x2 = -15.625 + 6920.160156

Reorder the terms:
6920.160156 + 166.375x + x2 = -15.625 + 6920.160156

Combine like terms: -15.625 + 6920.160156 = 6904.535156
6920.160156 + 166.375x + x2 = 6904.535156

Factor a perfect square on the left side:
(x + 83.1875)(x + 83.1875) = 6904.535156

Calculate the square root of the right side: 83.093532576

Break this problem into two subproblems by setting 
(x + 83.1875) equal to 83.093532576 and -83.093532576.

Subproblem 1

x + 83.1875 = 83.093532576 Simplifying x + 83.1875 = 83.093532576 Reorder the terms: 83.1875 + x = 83.093532576 Solving 83.1875 + x = 83.093532576 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-83.1875' to each side of the equation. 83.1875 + -83.1875 + x = 83.093532576 + -83.1875 Combine like terms: 83.1875 + -83.1875 = 0.0000 0.0000 + x = 83.093532576 + -83.1875 x = 83.093532576 + -83.1875 Combine like terms: 83.093532576 + -83.1875 = -0.093967424 x = -0.093967424 Simplifying x = -0.093967424

Subproblem 2

x + 83.1875 = -83.093532576 Simplifying x + 83.1875 = -83.093532576 Reorder the terms: 83.1875 + x = -83.093532576 Solving 83.1875 + x = -83.093532576 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-83.1875' to each side of the equation. 83.1875 + -83.1875 + x = -83.093532576 + -83.1875 Combine like terms: 83.1875 + -83.1875 = 0.0000 0.0000 + x = -83.093532576 + -83.1875 x = -83.093532576 + -83.1875 Combine like terms: -83.093532576 + -83.1875 = -166.281032576 x = -166.281032576 Simplifying x = -166.281032576

Solution

The solution to the problem is based on the solutions from the subproblems. x = {-0.093967424, -166.281032576}

See similar equations:

| 28-7x=-7 | | (3x-18)+(5x-4)=90 | | 8x^2+5x=-27 | | 9x+7=3x+7 | | 5[x-2]=4x | | f(x-2)=4x | | 12n+20=-4 | | 27-7x=3-3x | | 9x-4=-13 | | 22.6=45.36 | | 5(x+6)=3[x-(7-x)] | | (7-z)(3z-5)=0 | | 14-5x=-21 | | 4(5z-1)-2(z+5)=3(z+1) | | 2.8=-0.9+y | | 15=6y-3y | | a-3=-20 | | s=3m+3z | | x^4+3x^2=4 | | 9y=-2(y+1) | | 9x-42=2x | | 8y-15y+7= | | -2(-4z)=64 | | 3x+7y= | | 2(5z)=-80 | | 10b^2-8b-7=0 | | x+43=38 | | -11m+6m=11-31 | | -5(3p+4)-25=3(2p+6) | | 2(c-6)=3(c-7) | | 8-6n+2n=43-95 | | 2y-4(2y+4)=-4-2(-1-y) |

Equations solver categories