2x^2=x-8

Simple and best practice solution for 2x^2=x-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 2x^2=x-8 equation:


Simplifying
2x2 = x + -8

Reorder the terms:
2x2 = -8 + x

Solving
2x2 = -8 + x

Solving for variable 'x'.

Reorder the terms:
8 + -1x + 2x2 = -8 + x + 8 + -1x

Reorder the terms:
8 + -1x + 2x2 = -8 + 8 + x + -1x

Combine like terms: -8 + 8 = 0
8 + -1x + 2x2 = 0 + x + -1x
8 + -1x + 2x2 = x + -1x

Combine like terms: x + -1x = 0
8 + -1x + 2x2 = 0

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

Divide each side by '2'.
4 + -0.5x + x2 = 0

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + -0.5x + -4 + x2 = 0 + -4

Reorder the terms:
4 + -4 + -0.5x + x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -0.5x + x2 = 0 + -4
-0.5x + x2 = 0 + -4

Combine like terms: 0 + -4 = -4
-0.5x + x2 = -4

The x term is -0.5x.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5x + 0.0625 + x2 = -4 + 0.0625

Reorder the terms:
0.0625 + -0.5x + x2 = -4 + 0.0625

Combine like terms: -4 + 0.0625 = -3.9375
0.0625 + -0.5x + x2 = -3.9375

Factor a perfect square on the left side:
(x + -0.25)(x + -0.25) = -3.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| f(x)=2x^3-7x^2+13x+40 | | 5(2-5x)-2(3-7x)=10-x+6 | | 5(y+2)+2=32 | | 63=7M+13 | | 3x-15+3x=5+6x-20 | | 2x-7-3x=-5 | | 7+25x=20x+8 | | 2x^2=-8+10x | | 9x+40=-15x-8 | | 8p-27=-7+3 | | 5sinx-1=-2 | | 5k+4.9-1.2K-1.5K+2= | | 2x+76+x+112=36 | | 1.25p=37.5 | | 4-2y=6x | | sinx=2cosx | | 7x+8-9(x-1)=3x+2 | | -32+9+m=-6+12 | | 384/2304= | | 3xy+3y=7 | | 0.2x+2.7x=7.7-1.5+2.7x | | 20+x^2+9x=0 | | 2u^2-5u-16=u^2+4 | | f(x)=6x^4+23x^3+19x^2-8x-4 | | 192=1/212b | | 9+8x=23+x | | 2(3-5x)=3(3x+4) | | x-17+x=126 | | X^2+4x+22=-5x+2 | | 5(-4x+3)=10x-2 | | x+4.8=-6.7 | | 8x^3+4x^2+7x-1=0 |

Equations solver categories