x^2+1.4x=12

Simple and best practice solution for x^2+1.4x=12 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+1.4x=12 equation: 


Simplifying
x2 + 1.4x = 12

Reorder the terms:
1.4x + x2 = 12

Solving
1.4x + x2 = 12

Solving for variable 'x'.

Reorder the terms:
-12 + 1.4x + x2 = 12 + -12

Combine like terms: 12 + -12 = 0
-12 + 1.4x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '12' to each side of the equation.
-12 + 1.4x + 12 + x2 = 0 + 12

Reorder the terms:
-12 + 12 + 1.4x + x2 = 0 + 12

Combine like terms: -12 + 12 = 0
0 + 1.4x + x2 = 0 + 12
1.4x + x2 = 0 + 12

Combine like terms: 0 + 12 = 12
1.4x + x2 = 12

The x term is 1.4x.  Take half its coefficient (0.7).
Square it (0.49) and add it to both sides.

Add '0.49' to each side of the equation.
1.4x + 0.49 + x2 = 12 + 0.49

Reorder the terms:
0.49 + 1.4x + x2 = 12 + 0.49

Combine like terms: 12 + 0.49 = 12.49
0.49 + 1.4x + x2 = 12.49

Factor a perfect square on the left side:
(x + 0.7)(x + 0.7) = 12.49

Calculate the square root of the right side: 3.534119409

Break this problem into two subproblems by setting 
(x + 0.7) equal to 3.534119409 and -3.534119409.


Subproblem 1
x + 0.7 = 3.534119409

Simplifying
x + 0.7 = 3.534119409

Reorder the terms:
0.7 + x = 3.534119409

Solving
0.7 + x = 3.534119409

Solving for variable 'x'.

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

Add '-0.7' to each side of the equation.
0.7 + -0.7 + x = 3.534119409 + -0.7

Combine like terms: 0.7 + -0.7 = 0.0
0.0 + x = 3.534119409 + -0.7
x = 3.534119409 + -0.7

Combine like terms: 3.534119409 + -0.7 = 2.834119409
x = 2.834119409

Simplifying
x = 2.834119409


Subproblem 2
x + 0.7 = -3.534119409

Simplifying
x + 0.7 = -3.534119409

Reorder the terms:
0.7 + x = -3.534119409

Solving
0.7 + x = -3.534119409

Solving for variable 'x'.

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

Add '-0.7' to each side of the equation.
0.7 + -0.7 + x = -3.534119409 + -0.7

Combine like terms: 0.7 + -0.7 = 0.0
0.0 + x = -3.534119409 + -0.7
x = -3.534119409 + -0.7

Combine like terms: -3.534119409 + -0.7 = -4.234119409
x = -4.234119409

Simplifying
x = -4.234119409


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.834119409, -4.234119409}

See similar equations:

| 4+8x=67 | | 50=-8+-2x | | 7x-3y=0 | | 2x+13+10x=145 | | 3x+22=12x-81 | | 3x^2-8x-2=0 | | -1-6x=11x-8x | | 3b+5c+4b-2c= | | 6x+3x=108 | | (3x+2)*lg(7)=x | | =3b+5c+4b-2c | | 5p+8=1 | | 6x-1=15x | | z+6=-(4z+10) | | x^2-7x-8=8 | | 0=x+4y+2 | | 4a+6a+6=-21 | | 4a+6+6=-21 | | 5Y+4C= | | 2a+3a-6=-12 | | (-5-c)=(-1) | | 4-4x=-10 | | 5Y+4Y= | | 5Y-4Y= | | 1-5a=29 | | 4(m+2)-8m-5=3m+9+2(m+6) | | x^2+10x-10= | | 8x-5=x+9 | | Y=-21+4 | | 16.3a+4.3=6.6a+62.5 | | -2r-1=11 | | 28=-7y |

Equations solver categories