0.2x^2-1.6x+1.4=0

Simple and best practice solution for 0.2x^2-1.6x+1.4=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^2-1.6x+1.4=0 equation:


Simplifying
0.2x2 + -1.6x + 1.4 = 0

Reorder the terms:
1.4 + -1.6x + 0.2x2 = 0

Solving
1.4 + -1.6x + 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'.
7 + -8x + x2 = 0

Move the constant term to the right:

Add '-7' to each side of the equation.
7 + -8x + -7 + x2 = 0 + -7

Reorder the terms:
7 + -7 + -8x + x2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -8x + x2 = 0 + -7
-8x + x2 = 0 + -7

Combine like terms: 0 + -7 = -7
-8x + x2 = -7

The x term is -8x.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8x + 16 + x2 = -7 + 16

Reorder the terms:
16 + -8x + x2 = -7 + 16

Combine like terms: -7 + 16 = 9
16 + -8x + x2 = 9

Factor a perfect square on the left side:
(x + -4)(x + -4) = 9

Calculate the square root of the right side: 3

Break this problem into two subproblems by setting 
(x + -4) equal to 3 and -3.

Subproblem 1

x + -4 = 3 Simplifying x + -4 = 3 Reorder the terms: -4 + x = 3 Solving -4 + x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x = 3 + 4 Combine like terms: -4 + 4 = 0 0 + x = 3 + 4 x = 3 + 4 Combine like terms: 3 + 4 = 7 x = 7 Simplifying x = 7

Subproblem 2

x + -4 = -3 Simplifying x + -4 = -3 Reorder the terms: -4 + x = -3 Solving -4 + x = -3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x = -3 + 4 Combine like terms: -4 + 4 = 0 0 + x = -3 + 4 x = -3 + 4 Combine like terms: -3 + 4 = 1 x = 1 Simplifying x = 1

Solution

The solution to the problem is based on the solutions from the subproblems. x = {7, 1}

See similar equations:

| 5x=2x-45 | | h=-16x^2+256 | | 2t+7=-9 | | -4e^4x=32 | | 17-17a=-2a^2 | | -19+4h=-7(9h+6) | | .75x=-.33 | | 6(x+6)+7=6x+6 | | 60=50+(2t-0.0625t^2) | | .4(z-18)-30=6 | | 14x^4+63x^3y-35x^2y^2= | | N^2+n^2+4n-202+4=0 | | -4x+10y=8 | | 0.2x^2-0.6x+1.4=0 | | 60=50+2t-0.0625t^2 | | 704=4(x+18) | | 2asde=6asde | | 111=z^3+11 | | 3x+3-4x=0 | | y=100x+500 | | 4(y-8)=-24 | | 12x^2+9x+15=0 | | 5t^5-25t^4+30t^3= | | 12x-14=-2x^2 | | 5w-5w=-t | | 17-9*(2+1)= | | -5x+8-2x=-6 | | u^2+12u+27= | | 9k+2+6=27 | | -4(6y-2)-y=-3(y-3) | | 5w-5w=-X | | 1/2x-4/2=12/3 |

Equations solver categories