x^2=6x^2+16x

Simple and best practice solution for x^2=6x^2+16x 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^2=6x^2+16x equation: 


Simplifying
x2 = 6x2 + 16x

Reorder the terms:
x2 = 16x + 6x2

Solving
x2 = 16x + 6x2

Solving for variable 'x'.

Reorder the terms:
-16x + x2 + -6x2 = 16x + 6x2 + -16x + -6x2

Combine like terms: x2 + -6x2 = -5x2
-16x + -5x2 = 16x + 6x2 + -16x + -6x2

Reorder the terms:
-16x + -5x2 = 16x + -16x + 6x2 + -6x2

Combine like terms: 16x + -16x = 0
-16x + -5x2 = 0 + 6x2 + -6x2
-16x + -5x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-16x + -5x2 = 0

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(16 + 5x) = 0

Ignore the factor -1.

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 '(16 + 5x)' equal to zero and attempt to solve:

Simplifying
16 + 5x = 0

Solving
16 + 5x = 0

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

Add '-16' to each side of the equation.
16 + -16 + 5x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + 5x = 0 + -16
5x = 0 + -16

Combine like terms: 0 + -16 = -16
5x = -16

Divide each side by '5'.
x = -3.2

Simplifying
x = -3.2
Solution
x = {0, -3.2}

See similar equations:

| -.4-6(3x-2)=48.8 | | 125a^3-64y^3=0 | | 10x-6=6x+42 | | 1.75(3)=9.25 | | 20y-16=18-10 | | -3x+2+5x=-6 | | 7p+4=25 | | -4(x+3)-42=1-19 | | 73y=72y-56 | | 12x^2+29+15=0 | | 15x+6=7x-2 | | ln(x+2)=ln(25)+ln(5x-2) | | 6x-4+2x=24 | | 5x-10=2x+12 | | 6(1-2f)-f=36 | | 15y^2+26y+8=0 | | 5t-8=t+16 | | -3(2m+4)-4(2-6m)=22 | | 5(r-1)=8b-11 | | (2+3)(6+4x)=20-7.5(x+2) | | (4x+1)=20 | | 2c+8-c+6=12 | | 3y-2=2y+8 | | 3(2x-15)=31-5(x+2) | | 6x+3(4-x)=15 | | 8x+14-3x=-8x-25+x | | x^3-5x=59 | | C^2-22c+21= | | 4[5y-(y-1)]=7(y-2) | | 21x^2+44x+15=0 | | 62=12 | | 9x=65+4 |

Equations solver categories