x(x-2)=2(x+16)

Simple and best practice solution for x(x-2)=2(x+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 x(x-2)=2(x+16) equation: 


Simplifying
x(x + -2) = 2(x + 16)

Reorder the terms:
x(-2 + x) = 2(x + 16)
(-2 * x + x * x) = 2(x + 16)
(-2x + x2) = 2(x + 16)

Reorder the terms:
-2x + x2 = 2(16 + x)
-2x + x2 = (16 * 2 + x * 2)
-2x + x2 = (32 + 2x)

Solving
-2x + x2 = 32 + 2x

Solving for variable 'x'.

Reorder the terms:
-32 + -2x + -2x + x2 = 32 + 2x + -32 + -2x

Combine like terms: -2x + -2x = -4x
-32 + -4x + x2 = 32 + 2x + -32 + -2x

Reorder the terms:
-32 + -4x + x2 = 32 + -32 + 2x + -2x

Combine like terms: 32 + -32 = 0
-32 + -4x + x2 = 0 + 2x + -2x
-32 + -4x + x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
-32 + -4x + x2 = 0

Factor a trinomial.
(-4 + -1x)(8 + -1x) = 0


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 '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

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

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

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {-4, 8}

See similar equations:

| 11m+5=17+7m | | 6+0=8x | | 0=4-2/5x | | 0=4-2/5 | | [x-(1-3i)][x-(1+3i)]=0 | | x+4=x/2-1 | | 1/3(X-6)2 | | 0.83333335q+7=4-0.16666667q | | B/5-6=34 | | .5+d=-3.2 | | x(x-3)=3(x-3) | | u-2=3u-5 | | (-3x+1)+(x^2+2x)=5 | | (x-6)(x-3)=10000 | | 1/6(B-6)=5 | | 7-(5x-3)=0 | | 1-(1/2) | | b+2b-4=24 | | (4a-8)/4 | | 4a-8/4 | | 500=2(PI)*R | | 500=2(PI)R | | 0.16666667q=-3 | | 2a+2b=x | | x^3+(-13*x^1)+(-12)=0 | | y^2-y+24=0 | | 30(a-2)-5(4-a)=40(a-7)+194 | | 5(4x+7)-3(6x+7)=4 | | 3.24x-4.09=-0.72x+3.65 | | (B+5)+B+2B=41 | | 4(3x-2)-9=11x-15 | | 21+7x=3x-3 |

Equations solver categories