x^2-2.6x-3.12=0

Simple and best practice solution for x^2-2.6x-3.12=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 x^2-2.6x-3.12=0 equation:


Simplifying
x2 + -2.6x + -3.12 = 0

Reorder the terms:
-3.12 + -2.6x + x2 = 0

Solving
-3.12 + -2.6x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '3.12' to each side of the equation.
-3.12 + -2.6x + 3.12 + x2 = 0 + 3.12

Reorder the terms:
-3.12 + 3.12 + -2.6x + x2 = 0 + 3.12

Combine like terms: -3.12 + 3.12 = 0.00
0.00 + -2.6x + x2 = 0 + 3.12
-2.6x + x2 = 0 + 3.12

Combine like terms: 0 + 3.12 = 3.12
-2.6x + x2 = 3.12

The x term is -2.6x.  Take half its coefficient (-1.3).
Square it (1.69) and add it to both sides.

Add '1.69' to each side of the equation.
-2.6x + 1.69 + x2 = 3.12 + 1.69

Reorder the terms:
1.69 + -2.6x + x2 = 3.12 + 1.69

Combine like terms: 3.12 + 1.69 = 4.81
1.69 + -2.6x + x2 = 4.81

Factor a perfect square on the left side:
(x + -1.3)(x + -1.3) = 4.81

Calculate the square root of the right side: 2.19317122

Break this problem into two subproblems by setting 
(x + -1.3) equal to 2.19317122 and -2.19317122.

Subproblem 1

x + -1.3 = 2.19317122 Simplifying x + -1.3 = 2.19317122 Reorder the terms: -1.3 + x = 2.19317122 Solving -1.3 + x = 2.19317122 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.3' to each side of the equation. -1.3 + 1.3 + x = 2.19317122 + 1.3 Combine like terms: -1.3 + 1.3 = 0.0 0.0 + x = 2.19317122 + 1.3 x = 2.19317122 + 1.3 Combine like terms: 2.19317122 + 1.3 = 3.49317122 x = 3.49317122 Simplifying x = 3.49317122

Subproblem 2

x + -1.3 = -2.19317122 Simplifying x + -1.3 = -2.19317122 Reorder the terms: -1.3 + x = -2.19317122 Solving -1.3 + x = -2.19317122 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.3' to each side of the equation. -1.3 + 1.3 + x = -2.19317122 + 1.3 Combine like terms: -1.3 + 1.3 = 0.0 0.0 + x = -2.19317122 + 1.3 x = -2.19317122 + 1.3 Combine like terms: -2.19317122 + 1.3 = -0.89317122 x = -0.89317122 Simplifying x = -0.89317122

Solution

The solution to the problem is based on the solutions from the subproblems. x = {3.49317122, -0.89317122}

See similar equations:

| 6a+12q=18 | | x/7+x/6=39 | | x-38=24 | | x^2+x-272=0 | | 130=5(x-60)+55 | | -9(-5d-12)-9d=-18d | | 2y+4=3y+12 | | 6(-17g+4)=20-17g+4 | | 3x-24=2x | | 12x=81 | | 64-y=36 | | 7m-3m+1= | | -7=-(x+8) | | V-5=0 | | x/5+x/7=24 | | 3x-6=8x+-4x | | 2(3x+4)-(3x-2)=8 | | 9-4x=5x+9 | | 6x-3=6(x+1) | | 3x+12-5*5=22 | | x/2+x/3=5/6 | | -5x+2+2x=-6x+7 | | 2k-22=8(K+1) | | (15n)+4=36 | | 17.1d=18d+17.19 | | 2n/5-6/13=74/65 | | 8x/9-5=59 | | 4(2x-7)-2=4(x-2)+6 | | .35c+9.99=11.74 | | 6.6h-7.15-16.2h=-6.6h+19.25 | | 0=-x^2+2x+6 | | 4(2x-7)-2=4(x-3)+6 |

Equations solver categories