-0.2x^2+1.4x+5.7=0

Simple and best practice solution for -0.2x^2+1.4x+5.7=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 -0.2x^2+1.4x+5.7=0 equation: 


Simplifying
-0.2x2 + 1.4x + 5.7 = 0

Reorder the terms:
5.7 + 1.4x + -0.2x2 = 0

Solving
5.7 + 1.4x + -0.2x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-0.2 the coefficient of the squared term: 

Divide each side by '-0.2'.
-28.5 + -7x + x2 = 0

Move the constant term to the right:

Add '28.5' to each side of the equation.
-28.5 + -7x + 28.5 + x2 = 0 + 28.5

Reorder the terms:
-28.5 + 28.5 + -7x + x2 = 0 + 28.5

Combine like terms: -28.5 + 28.5 = 0.0
0.0 + -7x + x2 = 0 + 28.5
-7x + x2 = 0 + 28.5

Combine like terms: 0 + 28.5 = 28.5
-7x + x2 = 28.5

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 = 28.5 + 12.25

Reorder the terms:
12.25 + -7x + x2 = 28.5 + 12.25

Combine like terms: 28.5 + 12.25 = 40.75
12.25 + -7x + x2 = 40.75

Factor a perfect square on the left side:
(x + -3.5)(x + -3.5) = 40.75

Calculate the square root of the right side: 6.383572667

Break this problem into two subproblems by setting 
(x + -3.5) equal to 6.383572667 and -6.383572667.


Subproblem 1
x + -3.5 = 6.383572667

Simplifying
x + -3.5 = 6.383572667

Reorder the terms:
-3.5 + x = 6.383572667

Solving
-3.5 + x = 6.383572667

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 = 6.383572667 + 3.5

Combine like terms: -3.5 + 3.5 = 0.0
0.0 + x = 6.383572667 + 3.5
x = 6.383572667 + 3.5

Combine like terms: 6.383572667 + 3.5 = 9.883572667
x = 9.883572667

Simplifying
x = 9.883572667


Subproblem 2
x + -3.5 = -6.383572667

Simplifying
x + -3.5 = -6.383572667

Reorder the terms:
-3.5 + x = -6.383572667

Solving
-3.5 + x = -6.383572667

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 = -6.383572667 + 3.5

Combine like terms: -3.5 + 3.5 = 0.0
0.0 + x = -6.383572667 + 3.5
x = -6.383572667 + 3.5

Combine like terms: -6.383572667 + 3.5 = -2.883572667
x = -2.883572667

Simplifying
x = -2.883572667


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {9.883572667, -2.883572667}

See similar equations:

| 3-(4K+2)=15 | | -8(8x-3)=344 | | 2X+5X-9=40 | | -36=f/-9 | | t-16=15 | | 6n+10-2-2-2=64 | | -28=k-7 | | 11x+65+6x=17+x | | 120+25f=300 | | 10m-4=2(2-5m) | | 5/6-2/5=3/30=? | | -3(2s-6)-18=-2(5s+7)-3 | | 12z-40=4z | | 2y^3+2y=10y^2 | | -4p+4=-5 | | 3(x+1)-5(x-1)=14 | | 6x+45=15y | | -61+2x=35+8x | | 3(r+5)=45 | | n-8-5=0 | | (80/y)-(80/y-6)=4/y | | 39-8n=-8(3+4n) | | 8x=16+5y | | 2x+33=42 | | (a-b)(x^2-5)+(b-a)(3x+5)= | | 7p+2=9 | | 6/2x=-9 | | 15x=78 | | (x-4)-(7x+2)=(x-4)+(-7x-2) | | 3.8n-13=1.4 | | s+5=6 | | 16x=78 |

Equations solver categories