0.5x^2-2x=-2

Simple and best practice solution for 0.5x^2-2x=-2 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^2-2x=-2 equation:


Simplifying
0.5x2 + -2x = -2

Reorder the terms:
-2x + 0.5x2 = -2

Solving
-2x + 0.5x2 = -2

Solving for variable 'x'.

Reorder the terms:
2 + -2x + 0.5x2 = -2 + 2

Combine like terms: -2 + 2 = 0
2 + -2x + 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'.
4 + -4x + x2 = 0

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + -4x + -4 + x2 = 0 + -4

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

Combine like terms: 4 + -4 = 0
0 + -4x + x2 = 0 + -4
-4x + x2 = 0 + -4

Combine like terms: 0 + -4 = -4
-4x + x2 = -4

The x term is -4x.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4x + 4 + x2 = -4 + 4

Reorder the terms:
4 + -4x + x2 = -4 + 4

Combine like terms: -4 + 4 = 0
4 + -4x + x2 = 0

Factor a perfect square on the left side:
(x + -2)(x + -2) = 0

Calculate the square root of the right side: 0

Break this problem into two subproblems by setting 
(x + -2) equal to 0 and 0.

Subproblem 1

x + -2 = 0 Simplifying x + -2 = 0 Reorder the terms: -2 + x = 0 Solving -2 + x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x = 0 + 2 x = 0 + 2 Combine like terms: 0 + 2 = 2 x = 2 Simplifying x = 2

Subproblem 2

x + -2 = 0 Simplifying x + -2 = 0 Reorder the terms: -2 + x = 0 Solving -2 + x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x = 0 + 2 x = 0 + 2 Combine like terms: 0 + 2 = 2 x = 2 Simplifying x = 2

Solution

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

See similar equations:

| 2z+8+3z=4-(z+2) | | 5n^2-10n+10=0 | | 33u^2-33u+1=0 | | 3p-0.6=39 | | 12x-63=3(4x-20) | | 5x^4-100x^2=0 | | (324*0.25)Y=1/27 | | 4x+9y=65 | | 4x+9y=25 | | r^2=0.571 | | 2x(3x+5x+2)+4x(x^2+6x)= | | 1/(2.9-3) | | 1/2.9-3 | | 5z^2+14z+9=0 | | 3x=6(x-4) | | 6w=5w+9 | | 5/8=x/(2.5) | | 40+2y=8x | | 1x=(1/2)/(4/5) | | 3m^2+37m+12=0 | | (5n-6)(n+4)= | | 3*x=19 | | 4(x+3)-2=66 | | r=0.571 | | (27y^3)^5/3 | | 6x+7+7(2x-4)= | | (y-4)(2y-6)= | | 5v=140 | | y-1=1/3(0-y) | | 2y+140=180 | | 1x+4y=12 | | 3a+14=4a |

Equations solver categories