1.2x^2+4x-1.3=0

Simple and best practice solution for 1.2x^2+4x-1.3=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 1.2x^2+4x-1.3=0 equation: 


Simplifying
1.2x2 + 4x + -1.3 = 0

Reorder the terms:
-1.3 + 4x + 1.2x2 = 0

Solving
-1.3 + 4x + 1.2x2 = 0

Solving for variable 'x'.

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

Divide each side by '1.2'.
-1.083333333 + 3.333333333x + x2 = 0

Move the constant term to the right:

Add '1.083333333' to each side of the equation.
-1.083333333 + 3.333333333x + 1.083333333 + x2 = 0 + 1.083333333

Reorder the terms:
-1.083333333 + 1.083333333 + 3.333333333x + x2 = 0 + 1.083333333

Combine like terms: -1.083333333 + 1.083333333 = 0.000000000
0.000000000 + 3.333333333x + x2 = 0 + 1.083333333
3.333333333x + x2 = 0 + 1.083333333

Combine like terms: 0 + 1.083333333 = 1.083333333
3.333333333x + x2 = 1.083333333

The x term is 3.333333333x.  Take half its coefficient (1.666666667).
Square it (2.777777779) and add it to both sides.

Add '2.777777779' to each side of the equation.
3.333333333x + 2.777777779 + x2 = 1.083333333 + 2.777777779

Reorder the terms:
2.777777779 + 3.333333333x + x2 = 1.083333333 + 2.777777779

Combine like terms: 1.083333333 + 2.777777779 = 3.861111112
2.777777779 + 3.333333333x + x2 = 3.861111112

Factor a perfect square on the left side:
(x + 1.666666667)(x + 1.666666667) = 3.861111112

Calculate the square root of the right side: 1.964971021

Break this problem into two subproblems by setting 
(x + 1.666666667) equal to 1.964971021 and -1.964971021.


Subproblem 1
x + 1.666666667 = 1.964971021

Simplifying
x + 1.666666667 = 1.964971021

Reorder the terms:
1.666666667 + x = 1.964971021

Solving
1.666666667 + x = 1.964971021

Solving for variable 'x'.

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

Add '-1.666666667' to each side of the equation.
1.666666667 + -1.666666667 + x = 1.964971021 + -1.666666667

Combine like terms: 1.666666667 + -1.666666667 = 0.000000000
0.000000000 + x = 1.964971021 + -1.666666667
x = 1.964971021 + -1.666666667

Combine like terms: 1.964971021 + -1.666666667 = 0.298304354
x = 0.298304354

Simplifying
x = 0.298304354


Subproblem 2
x + 1.666666667 = -1.964971021

Simplifying
x + 1.666666667 = -1.964971021

Reorder the terms:
1.666666667 + x = -1.964971021

Solving
1.666666667 + x = -1.964971021

Solving for variable 'x'.

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

Add '-1.666666667' to each side of the equation.
1.666666667 + -1.666666667 + x = -1.964971021 + -1.666666667

Combine like terms: 1.666666667 + -1.666666667 = 0.000000000
0.000000000 + x = -1.964971021 + -1.666666667
x = -1.964971021 + -1.666666667

Combine like terms: -1.964971021 + -1.666666667 = -3.631637688
x = -3.631637688

Simplifying
x = -3.631637688


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.298304354, -3.631637688}

See similar equations:

| 6x+5(1-3x)=12 | | -10+7q-10=10q+10 | | -8p=9-9p | | 3c+8=-c | | 4x+12=9x-2 | | 10w-10=10+6w | | Log(x+1)+log(x)=1 | | 1.03-.3= | | -2g=10-3g | | -2+2h=5h+10-5h | | 50=3(S+16)-2(5-2) | | 2+8x=12+x | | -3-6u=8u-3 | | 1/x+1/x=1/5 | | I=p*100-2p | | -6(n+3)+19=-3n-8 | | -8z=9-7z | | 4(x-5)=-7-17 | | 2n-(n-3)=5-3n | | [3cos(2x)]-1=0 | | 4(7c+1)-57=21c+3 | | 6x-14=-31-3x | | 3w^2-1w=30 | | 18/-3x | | -3(y+4)=0 | | 5x+4-2x=25 | | x/0.02=3.1*10^4 | | x^2=(x+x+5)(x-6) | | 3000-x=100 | | 6+5x+x^2=56 | | 8x-5x-6=18 | | -8x+4x+15-9x= |

Equations solver categories