-2x^2+6=-x+2

Simple and best practice solution for -2x^2+6=-x+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 -2x^2+6=-x+2 equation:


Simplifying
-2x2 + 6 = -1x + 2

Reorder the terms:
6 + -2x2 = -1x + 2

Reorder the terms:
6 + -2x2 = 2 + -1x

Solving
6 + -2x2 = 2 + -1x

Solving for variable 'x'.

Reorder the terms:
6 + -2 + x + -2x2 = 2 + -1x + -2 + x

Combine like terms: 6 + -2 = 4
4 + x + -2x2 = 2 + -1x + -2 + x

Reorder the terms:
4 + x + -2x2 = 2 + -2 + -1x + x

Combine like terms: 2 + -2 = 0
4 + x + -2x2 = 0 + -1x + x
4 + x + -2x2 = -1x + x

Combine like terms: -1x + x = 0
4 + x + -2x2 = 0

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
-2 + -0.5x + x2 = 0

Move the constant term to the right:

Add '2' to each side of the equation.
-2 + -0.5x + 2 + x2 = 0 + 2

Reorder the terms:
-2 + 2 + -0.5x + x2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -0.5x + x2 = 0 + 2
-0.5x + x2 = 0 + 2

Combine like terms: 0 + 2 = 2
-0.5x + x2 = 2

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-0.5x + 0.25 + x2 = 2 + 0.25

Reorder the terms:
0.25 + -0.5x + x2 = 2 + 0.25

Combine like terms: 2 + 0.25 = 2.25
0.25 + -0.5x + x2 = 2.25

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = 2.25

Calculate the square root of the right side: 1.5

Break this problem into two subproblems by setting 
(x + 0.5) equal to 1.5 and -1.5.

Subproblem 1

x + 0.5 = 1.5 Simplifying x + 0.5 = 1.5 Reorder the terms: 0.5 + x = 1.5 Solving 0.5 + x = 1.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + x = 1.5 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = 1.5 + -0.5 x = 1.5 + -0.5 Combine like terms: 1.5 + -0.5 = 1 x = 1 Simplifying x = 1

Subproblem 2

x + 0.5 = -1.5 Simplifying x + 0.5 = -1.5 Reorder the terms: 0.5 + x = -1.5 Solving 0.5 + x = -1.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + x = -1.5 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = -1.5 + -0.5 x = -1.5 + -0.5 Combine like terms: -1.5 + -0.5 = -2 x = -2 Simplifying x = -2

Solution

The solution to the problem is based on the solutions from the subproblems. x = {1, -2}

See similar equations:

| 0.4(g-8)=0.8(g-3) | | 2x+3(x-6)=2(x-6) | | 19/7.6 | | 8/3x=-1 | | 22+8x=10x-8 | | 9w-5x=3w+9xforw | | 23/7-2/14 | | x+(x*0.0575)=1000000 | | -7/13x=2 | | F-6-2=2f | | 15.3x=38.4 | | |(5)/(r-3))|=10 | | 4/12x=20 | | 8z+6z=60-z | | 3x(25x+15)-35(5x+3)=0 | | 15.3=38.4 | | (7x-6)(p+2)=0 | | 1.89L=6L | | 6.15y=55.35 | | 42.5=x+(x+5.3) | | 0=m^2-5m-14 | | Y+65=95 | | 12x+19x-8+5=-9+5-8 | | 2x+(3x-3)=7 | | 6m^2-17=0 | | 10/3x11/6 | | b=(1/6)t(f-5) | | 9x+12=-87 | | 6.1y=55.35 | | 5x^4(2x^3)= | | 2(9-x)=3(-9+2x)-9 | | x-2+2x-4= |

Equations solver categories