x(66-x)=4x(4x+8)

Simple and best practice solution for x(66-x)=4x(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 x(66-x)=4x(4x+8) equation: 


Simplifying
x(66 + -1x) = 4x(4x + 8)
(66 * x + -1x * x) = 4x(4x + 8)
(66x + -1x2) = 4x(4x + 8)

Reorder the terms:
66x + -1x2 = 4x(8 + 4x)
66x + -1x2 = (8 * 4x + 4x * 4x)
66x + -1x2 = (32x + 16x2)

Solving
66x + -1x2 = 32x + 16x2

Solving for variable 'x'.

Reorder the terms:
66x + -32x + -1x2 + -16x2 = 32x + 16x2 + -32x + -16x2

Combine like terms: 66x + -32x = 34x
34x + -1x2 + -16x2 = 32x + 16x2 + -32x + -16x2

Combine like terms: -1x2 + -16x2 = -17x2
34x + -17x2 = 32x + 16x2 + -32x + -16x2

Reorder the terms:
34x + -17x2 = 32x + -32x + 16x2 + -16x2

Combine like terms: 32x + -32x = 0
34x + -17x2 = 0 + 16x2 + -16x2
34x + -17x2 = 16x2 + -16x2

Combine like terms: 16x2 + -16x2 = 0
34x + -17x2 = 0

Factor out the Greatest Common Factor (GCF), '17x'.
17x(2 + -1x) = 0

Ignore the factor 17.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

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 = {0, 2}

See similar equations:

| 3x^3-1=32 | | 2(x-15)*2x=210 | | (3h+4)2= | | 1.00(1+g)= | | 24x^2+12x+6=0 | | 3x^3y^2z/xyz | | 0=25000x/100-x | | 24=1/8n | | B=4b-3 | | 30n-25=kn | | 62*17= | | 109-7x=-12x-166 | | x+20+x+30=180 | | 2-(1/4)(0.1) | | X^3-24x=12.338 | | 10x+4=7x+10 | | (3y^6/9z^3)^2 | | .8333333333333(12x+4)=-13x+4 | | 3.67-30.55g= | | 7=98/y | | 5(6-y)/3=-y | | 5x-7(-2x-24)=282 | | 6(16.3-1.6y)+10y=98 | | x+20+x+30=90 | | 14.95+0.13m=0.39-15 | | 25x^2=50x | | 9+4x=7x-9 | | 7n=26.67 | | 200-xcos(y)=0 | | 3x+10=30-x | | 54=6.75x | | 5(6x-8)+14x= |

Equations solver categories