0.5x(x-1.2)=x-0.8

Simple and best practice solution for 0.5x(x-1.2)=x-0.8 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 0.5x(x-1.2)=x-0.8 equation:


Simplifying
0.5x(x + -1.2) = x + -0.8

Reorder the terms:
0.5x(-1.2 + x) = x + -0.8
(-1.2 * 0.5x + x * 0.5x) = x + -0.8
(-0.6x + 0.5x2) = x + -0.8

Reorder the terms:
-0.6x + 0.5x2 = -0.8 + x

Solving
-0.6x + 0.5x2 = -0.8 + x

Solving for variable 'x'.

Reorder the terms:
0.8 + -0.6x + -1x + 0.5x2 = -0.8 + x + 0.8 + -1x

Combine like terms: -0.6x + -1x = -1.6x
0.8 + -1.6x + 0.5x2 = -0.8 + x + 0.8 + -1x

Reorder the terms:
0.8 + -1.6x + 0.5x2 = -0.8 + 0.8 + x + -1x

Combine like terms: -0.8 + 0.8 = 0.0
0.8 + -1.6x + 0.5x2 = 0.0 + x + -1x
0.8 + -1.6x + 0.5x2 = x + -1x

Combine like terms: x + -1x = 0
0.8 + -1.6x + 0.5x2 = 0

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

Divide each side by '0.5'.
1.6 + -3.2x + x2 = 0

Move the constant term to the right:

Add '-1.6' to each side of the equation.
1.6 + -3.2x + -1.6 + x2 = 0 + -1.6

Reorder the terms:
1.6 + -1.6 + -3.2x + x2 = 0 + -1.6

Combine like terms: 1.6 + -1.6 = 0.0
0.0 + -3.2x + x2 = 0 + -1.6
-3.2x + x2 = 0 + -1.6

Combine like terms: 0 + -1.6 = -1.6
-3.2x + x2 = -1.6

The x term is -3.2x.  Take half its coefficient (-1.6).
Square it (2.56) and add it to both sides.

Add '2.56' to each side of the equation.
-3.2x + 2.56 + x2 = -1.6 + 2.56

Reorder the terms:
2.56 + -3.2x + x2 = -1.6 + 2.56

Combine like terms: -1.6 + 2.56 = 0.96
2.56 + -3.2x + x2 = 0.96

Factor a perfect square on the left side:
(x + -1.6)(x + -1.6) = 0.96

Calculate the square root of the right side: 0.979795897

Break this problem into two subproblems by setting 
(x + -1.6) equal to 0.979795897 and -0.979795897.

Subproblem 1

x + -1.6 = 0.979795897 Simplifying x + -1.6 = 0.979795897 Reorder the terms: -1.6 + x = 0.979795897 Solving -1.6 + x = 0.979795897 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.6' to each side of the equation. -1.6 + 1.6 + x = 0.979795897 + 1.6 Combine like terms: -1.6 + 1.6 = 0.0 0.0 + x = 0.979795897 + 1.6 x = 0.979795897 + 1.6 Combine like terms: 0.979795897 + 1.6 = 2.579795897 x = 2.579795897 Simplifying x = 2.579795897

Subproblem 2

x + -1.6 = -0.979795897 Simplifying x + -1.6 = -0.979795897 Reorder the terms: -1.6 + x = -0.979795897 Solving -1.6 + x = -0.979795897 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.6' to each side of the equation. -1.6 + 1.6 + x = -0.979795897 + 1.6 Combine like terms: -1.6 + 1.6 = 0.0 0.0 + x = -0.979795897 + 1.6 x = -0.979795897 + 1.6 Combine like terms: -0.979795897 + 1.6 = 0.620204103 x = 0.620204103 Simplifying x = 0.620204103

Solution

The solution to the problem is based on the solutions from the subproblems. x = {2.579795897, 0.620204103}

See similar equations:

| 6z-z=-2+2z-3-1 | | 4X-3(2-3X)=4(X-5)-22 | | 1/5x1 | | 4=-7+0x | | -5=12+b | | 2z=3z-34 | | y-260=5(x-5) | | 9t+49=13t+45 | | 116=2u | | 2c+76=c+78 | | 7(9+x)=28 | | -11(2+1)+5(3z-6)=3(z-5)+8 | | 2z=5z-75 | | 4s^2+14s+10= | | 10y+y^2=24 | | 72=2x+2x^2 | | 5w+7=14w-38 | | 18=2h+6 | | 6c+16=130 | | 2-1/2r=5-2/3r | | 20(-15x+10)=17(x-5) | | 5(X-7)=10(X+2) | | x-1.5y=5.1 | | 5Log(x)=20 | | 8(-5n-8)=-96 | | 11b=4b+7 | | 11X+15X-6+5=2X+5-6 | | 2(x-7)2=32 | | 5(2c-4)+3=-4c-10 | | 5t(t-2)=-3 | | 2v+14=18 | | 11w+15=15w+7 |

Equations solver categories