8x(x+1)=4x-8

Simple and best practice solution for 8x(x+1)=4x-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 8x(x+1)=4x-8 equation: 


Simplifying
8x(x + 1) = 4x + -8

Reorder the terms:
8x(1 + x) = 4x + -8
(1 * 8x + x * 8x) = 4x + -8
(8x + 8x2) = 4x + -8

Reorder the terms:
8x + 8x2 = -8 + 4x

Solving
8x + 8x2 = -8 + 4x

Solving for variable 'x'.

Reorder the terms:
8 + 8x + -4x + 8x2 = -8 + 4x + 8 + -4x

Combine like terms: 8x + -4x = 4x
8 + 4x + 8x2 = -8 + 4x + 8 + -4x

Reorder the terms:
8 + 4x + 8x2 = -8 + 8 + 4x + -4x

Combine like terms: -8 + 8 = 0
8 + 4x + 8x2 = 0 + 4x + -4x
8 + 4x + 8x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
8 + 4x + 8x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(2 + x + 2x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(2 + x + 2x2)' equal to zero and attempt to solve:

Simplifying
2 + x + 2x2 = 0

Solving
2 + x + 2x2 = 0

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

Divide each side by '2'.
1 + 0.5x + x2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + 0.5x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + 0.5x + x2 = 0 + -1

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

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

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 = -1 + 0.25

Reorder the terms:
0.25 + 0.5x + x2 = -1 + 0.25

Combine like terms: -1 + 0.25 = -0.75
0.25 + 0.5x + x2 = -0.75

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -0.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

See similar equations:

| s=2pirh+2pir(r) | | -1(X+3)-5=4x-6x | | 104=11x+5 | | 7(2-3x)-5(6+x)= | | 2y+1=5y-41 | | -(-16)=9 | | f(x+2)=x^2+9x+6 | | -3x+8y=14 | | 9x+3=7x+14 | | 2r+45=115 | | 22-(x+6)=4x-4 | | 2y^2-6y-54=0 | | -13=z+3 | | 5x+2(11-4x)=13(3x-2) | | 35+10x=175 | | P-4=-12 | | 5m-8m=inches | | 5u+37=-7(u+5) | | x-8y=-22 | | s+3=-5 | | (X*40)+((x*1.5)8)=712.50 | | 11=-6+y | | 24=5h+4 | | 4n+n+40=180 | | 6y-8+y=10-2y | | 6m-3=10-m | | -6f=-6 | | 3(t-1)=8 | | (2y+3)-(7y-1)= | | 15ax+3a+1+5x=0 | | 96=-2(-5a-8) | | 301.04=170+0.52x |

Equations solver categories