1x^2-7x-12=0

Simple and best practice solution for 1x^2-7x-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 1x^2-7x-12=0 equation: 


Simplifying
1x2 + -7x + -12 = 0

Reorder the terms:
-12 + -7x + 1x2 = 0

Solving
-12 + -7x + 1x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '12' to each side of the equation.
-12 + -7x + 12 + x2 = 0 + 12

Reorder the terms:
-12 + 12 + -7x + x2 = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -7x + x2 = 0 + 12
-7x + x2 = 0 + 12

Combine like terms: 0 + 12 = 12
-7x + x2 = 12

The x term is -7x.  Take half its coefficient (-3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
-7x + 12.25 + x2 = 12 + 12.25

Reorder the terms:
12.25 + -7x + x2 = 12 + 12.25

Combine like terms: 12 + 12.25 = 24.25
12.25 + -7x + x2 = 24.25

Factor a perfect square on the left side:
(x + -3.5)(x + -3.5) = 24.25

Calculate the square root of the right side: 4.924428901

Break this problem into two subproblems by setting 
(x + -3.5) equal to 4.924428901 and -4.924428901.


Subproblem 1
x + -3.5 = 4.924428901

Simplifying
x + -3.5 = 4.924428901

Reorder the terms:
-3.5 + x = 4.924428901

Solving
-3.5 + x = 4.924428901

Solving for variable 'x'.

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

Add '3.5' to each side of the equation.
-3.5 + 3.5 + x = 4.924428901 + 3.5

Combine like terms: -3.5 + 3.5 = 0.0
0.0 + x = 4.924428901 + 3.5
x = 4.924428901 + 3.5

Combine like terms: 4.924428901 + 3.5 = 8.424428901
x = 8.424428901

Simplifying
x = 8.424428901


Subproblem 2
x + -3.5 = -4.924428901

Simplifying
x + -3.5 = -4.924428901

Reorder the terms:
-3.5 + x = -4.924428901

Solving
-3.5 + x = -4.924428901

Solving for variable 'x'.

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

Add '3.5' to each side of the equation.
-3.5 + 3.5 + x = -4.924428901 + 3.5

Combine like terms: -3.5 + 3.5 = 0.0
0.0 + x = -4.924428901 + 3.5
x = -4.924428901 + 3.5

Combine like terms: -4.924428901 + 3.5 = -1.424428901
x = -1.424428901

Simplifying
x = -1.424428901


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {8.424428901, -1.424428901}

See similar equations:

| x-10=-17 | | 6x^2+3x+4=2010 | | 1=x-2 | | 9y+4=-2y-29 | | 6(x+5)=-2(x-3) | | 14=3(x-2)+5 | | 2t-12-3t=-20 | | 4w+8=-1 | | 0.2= | | x+3=-13 | | x+3=-13 | | 3x-9-5x=7 | | -7w+2=9 | | 0.70x+.05(16-x)=.10(-31) | | 3+5v=-27 | | 4x+9=4x+9 | | 5w+12=102 | | 54-u=281 | | 4(x-4)=-3x+19 | | 3x-x-1=15 | | 2x+8=x^2 | | s^2+5s=15 | | -15=-3y | | 5w=95 | | 5y+4-2y=9 | | -58+x=26-6x | | 5(x+4)=7(7x-2) | | (y-9)-(y+9)=8y | | 2y=60 | | 5x=55 | | 3y=5x | | x-4=7x+2 |

Equations solver categories