2x^2-4x=-8x+16

Simple and best practice solution for 2x^2-4x=-8x+16 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^2-4x=-8x+16 equation: 


Simplifying
2x2 + -4x = -8x + 16

Reorder the terms:
-4x + 2x2 = -8x + 16

Reorder the terms:
-4x + 2x2 = 16 + -8x

Solving
-4x + 2x2 = 16 + -8x

Solving for variable 'x'.

Reorder the terms:
-16 + -4x + 8x + 2x2 = 16 + -8x + -16 + 8x

Combine like terms: -4x + 8x = 4x
-16 + 4x + 2x2 = 16 + -8x + -16 + 8x

Reorder the terms:
-16 + 4x + 2x2 = 16 + -16 + -8x + 8x

Combine like terms: 16 + -16 = 0
-16 + 4x + 2x2 = 0 + -8x + 8x
-16 + 4x + 2x2 = -8x + 8x

Combine like terms: -8x + 8x = 0
-16 + 4x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-8 + 2x + x2) = 0

Factor a trinomial.
2((-4 + -1x)(2 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve:

Simplifying
-4 + -1x = 0

Solving
-4 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '4' to each side of the equation.
-4 + 4 + -1x = 0 + 4

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

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

Divide each side by '-1'.
x = -4

Simplifying
x = -4

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

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

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

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-4, 2}

See similar equations:

| 5x+6+6x=17 | | 7x+1+7x=99 | | 4x+12=24 | | 0=-4x+3x+9 | | -2x-4+3x=-1 | | 6a^3+7a^2=3a | | 2x=12y+8 | | x^2-10x-50=0 | | 8n*6=192 | | 2x^2=5-9x | | .50p-5=-25 | | -5c+4=-11 | | q=194000-3400*p | | 5x^2+1=51 | | 6x-7+x=(-21) | | 24(2y)= | | 2x-17=25 | | 6x+9.5=x+19 | | 10n-12=-28 | | (4z+2)=(5z-3) | | -.75z+15=65 | | 5.9x=23.6 | | 5.7+x=-4.5 | | 2(x-3)=21.4 | | -102-8x=10x+24 | | 0.4x+9.7=16.1 | | 5(-12-5)=-85 | | 3x^2-16x+16=0 | | -4.2x-3.1=26.3 | | b+2b+(3b+10)+(3b-19)=360 | | 130-3x=5x+10 | | 5x-13=2x+17 |

Equations solver categories