2.59x^2-11.66x-6.48=0

Simple and best practice solution for 2.59x^2-11.66x-6.48=0 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 2.59x^2-11.66x-6.48=0 equation: 


Simplifying
2.59x2 + -11.66x + -6.48 = 0

Reorder the terms:
-6.48 + -11.66x + 2.59x2 = 0

Solving
-6.48 + -11.66x + 2.59x2 = 0

Solving for variable 'x'.

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

Divide each side by '2.59'.
-2.501930502 + -4.501930502x + x2 = 0

Move the constant term to the right:

Add '2.501930502' to each side of the equation.
-2.501930502 + -4.501930502x + 2.501930502 + x2 = 0 + 2.501930502

Reorder the terms:
-2.501930502 + 2.501930502 + -4.501930502x + x2 = 0 + 2.501930502

Combine like terms: -2.501930502 + 2.501930502 = 0.000000000
0.000000000 + -4.501930502x + x2 = 0 + 2.501930502
-4.501930502x + x2 = 0 + 2.501930502

Combine like terms: 0 + 2.501930502 = 2.501930502
-4.501930502x + x2 = 2.501930502

The x term is -4.501930502x.  Take half its coefficient (-2.250965251).
Square it (5.066844561) and add it to both sides.

Add '5.066844561' to each side of the equation.
-4.501930502x + 5.066844561 + x2 = 2.501930502 + 5.066844561

Reorder the terms:
5.066844561 + -4.501930502x + x2 = 2.501930502 + 5.066844561

Combine like terms: 2.501930502 + 5.066844561 = 7.568775063
5.066844561 + -4.501930502x + x2 = 7.568775063

Factor a perfect square on the left side:
(x + -2.250965251)(x + -2.250965251) = 7.568775063

Calculate the square root of the right side: 2.751140684

Break this problem into two subproblems by setting 
(x + -2.250965251) equal to 2.751140684 and -2.751140684.


Subproblem 1
x + -2.250965251 = 2.751140684

Simplifying
x + -2.250965251 = 2.751140684

Reorder the terms:
-2.250965251 + x = 2.751140684

Solving
-2.250965251 + x = 2.751140684

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2.250965251' to each side of the equation.
-2.250965251 + 2.250965251 + x = 2.751140684 + 2.250965251

Combine like terms: -2.250965251 + 2.250965251 = 0.000000000
0.000000000 + x = 2.751140684 + 2.250965251
x = 2.751140684 + 2.250965251

Combine like terms: 2.751140684 + 2.250965251 = 5.002105935
x = 5.002105935

Simplifying
x = 5.002105935


Subproblem 2
x + -2.250965251 = -2.751140684

Simplifying
x + -2.250965251 = -2.751140684

Reorder the terms:
-2.250965251 + x = -2.751140684

Solving
-2.250965251 + x = -2.751140684

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2.250965251' to each side of the equation.
-2.250965251 + 2.250965251 + x = -2.751140684 + 2.250965251

Combine like terms: -2.250965251 + 2.250965251 = 0.000000000
0.000000000 + x = -2.751140684 + 2.250965251
x = -2.751140684 + 2.250965251

Combine like terms: -2.751140684 + 2.250965251 = -0.500175433
x = -0.500175433

Simplifying
x = -0.500175433


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {5.002105935, -0.500175433}

See similar equations:

| 6q^2+5q-6=0 | | X^2+17x+21=0 | | y=(1+0.05x)(4000-80x) | | 2x+10=-9 | | 295=s+166 | | 2x-24=40 | | n+17=32 | | (8x)-(9y)=11 | | y+7(y-2)=18 | | 199=m-106 | | 3a-20+8a-20= | | -6-6n=4-4n | | 727=h+275 | | 14x-35=28 | | -40=b-20 | | z+45=88 | | 4.25v-7.5v+5=-1.5 | | r+41=-27 | | 9y+24=-3y | | q-3=47 | | 9b^5+3b^5-2b^5-3b^5= | | 69=j-52 | | t-6t=13+t-3t | | 3w^2-8w^2+2w^2= | | -1+4p-16=-6(8p+3)+1 | | 10+12=2y+40 | | 6(b+1)=18 | | 5y=45.00 | | -3x+6+9x=2(3x+3) | | -8x-x=3+x | | 5abc-4=5 | | 95=-x |

Equations solver categories