x^2+1.4x-1.2=0

Simple and best practice solution for x^2+1.4x-1.2=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+1.4x-1.2=0 equation: 


Simplifying
x2 + 1.4x + -1.2 = 0

Reorder the terms:
-1.2 + 1.4x + x2 = 0

Solving
-1.2 + 1.4x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '1.2' to each side of the equation.
-1.2 + 1.4x + 1.2 + x2 = 0 + 1.2

Reorder the terms:
-1.2 + 1.2 + 1.4x + x2 = 0 + 1.2

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + 1.4x + x2 = 0 + 1.2
1.4x + x2 = 0 + 1.2

Combine like terms: 0 + 1.2 = 1.2
1.4x + x2 = 1.2

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 = 1.2 + 0.49

Reorder the terms:
0.49 + 1.4x + x2 = 1.2 + 0.49

Combine like terms: 1.2 + 0.49 = 1.69
0.49 + 1.4x + x2 = 1.69

Factor a perfect square on the left side:
(x + 0.7)(x + 0.7) = 1.69

Calculate the square root of the right side: 1.3

Break this problem into two subproblems by setting 
(x + 0.7) equal to 1.3 and -1.3.


Subproblem 1
x + 0.7 = 1.3

Simplifying
x + 0.7 = 1.3

Reorder the terms:
0.7 + x = 1.3

Solving
0.7 + x = 1.3

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 = 1.3 + -0.7

Combine like terms: 0.7 + -0.7 = 0.0
0.0 + x = 1.3 + -0.7
x = 1.3 + -0.7

Combine like terms: 1.3 + -0.7 = 0.6
x = 0.6

Simplifying
x = 0.6


Subproblem 2
x + 0.7 = -1.3

Simplifying
x + 0.7 = -1.3

Reorder the terms:
0.7 + x = -1.3

Solving
0.7 + x = -1.3

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 = -1.3 + -0.7

Combine like terms: 0.7 + -0.7 = 0.0
0.0 + x = -1.3 + -0.7
x = -1.3 + -0.7

Combine like terms: -1.3 + -0.7 = -2
x = -2

Simplifying
x = -2


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.6, -2}

See similar equations:

| a=(5/2)*9 | | (5-3)+6(6*7)=a | | 14-x=27 | | 2x^2-52x-4kx+18=0 | | (-10x^4y)(-3x^2y^6)= | | x^4+15x-1=0 | | x^4+15x=1 | | 120x+86y=498 | | 7x^2-56=-49x | | 8x-21=4x+7 | | -x^2+8x+20=0 | | 5x+3+10=7 | | -5x-8y=-8 | | 4(x-2)= | | 5x-(2x+2x)=x+(3x-5) | | 2(x-1)= | | 1+15=-4(8x-4) | | 25x-3=45x+13 | | 4(2x+6)=-38+14 | | 4x+23=2x+13 | | 10z-z=-1+3z-2-9 | | -75=6w-40 | | 5z^2=3z | | x(x+1)=3(x+16) | | x(x+1)=3(x+6) | | 5y^2-10=13y-4 | | -4+4(-3z-5)=2(-3z+5)-2 | | 4(x+5)=6x+20 | | -2+5(6z-3)=9(5z-6)-6 | | 5(4x+5)=7(x+5)-18 | | 7+5q=19+9q | | 8(4x-3)=5(x+2)-9 |

Equations solver categories