x^2+10x=x(2*sqrt(3x+10)-3)

Simple and best practice solution for x^2+10x=x(2*sqrt(3x+10)-3) 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+10x=x(2*sqrt(3x+10)-3) equation: 


Simplifying
x2 + 10x = x(2sqrt(3x + 10) + -3)

Reorder the terms:
10x + x2 = x(2sqrt(3x + 10) + -3)

Reorder the terms:
10x + x2 = x(2qrst(10 + 3x) + -3)
10x + x2 = x((10 * 2qrst + 3x * 2qrst) + -3)
10x + x2 = x((20qrst + 6qrstx) + -3)

Reorder the terms:
10x + x2 = x(-3 + 20qrst + 6qrstx)
10x + x2 = (-3 * x + 20qrst * x + 6qrstx * x)

Reorder the terms:
10x + x2 = (20qrstx + 6qrstx2 + -3x)
10x + x2 = (20qrstx + 6qrstx2 + -3x)

Solving
10x + x2 = 20qrstx + 6qrstx2 + -3x

Solving for variable 'x'.

Reorder the terms:
-20qrstx + -6qrstx2 + 10x + 3x + x2 = 20qrstx + 6qrstx2 + -3x + -20qrstx + -6qrstx2 + 3x

Combine like terms: 10x + 3x = 13x
-20qrstx + -6qrstx2 + 13x + x2 = 20qrstx + 6qrstx2 + -3x + -20qrstx + -6qrstx2 + 3x

Reorder the terms:
-20qrstx + -6qrstx2 + 13x + x2 = 20qrstx + -20qrstx + 6qrstx2 + -6qrstx2 + -3x + 3x

Combine like terms: 20qrstx + -20qrstx = 0
-20qrstx + -6qrstx2 + 13x + x2 = 0 + 6qrstx2 + -6qrstx2 + -3x + 3x
-20qrstx + -6qrstx2 + 13x + x2 = 6qrstx2 + -6qrstx2 + -3x + 3x

Combine like terms: 6qrstx2 + -6qrstx2 = 0
-20qrstx + -6qrstx2 + 13x + x2 = 0 + -3x + 3x
-20qrstx + -6qrstx2 + 13x + x2 = -3x + 3x

Combine like terms: -3x + 3x = 0
-20qrstx + -6qrstx2 + 13x + x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-20qrst + -6qrstx + 13 + x) = 0


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 '(-20qrst + -6qrstx + 13 + x)' equal to zero and attempt to solve:

Simplifying
-20qrst + -6qrstx + 13 + x = 0

Reorder the terms:
13 + -20qrst + -6qrstx + x = 0

Solving
13 + -20qrst + -6qrstx + x = 0

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

Add '-13' to each side of the equation.
13 + -20qrst + -6qrstx + -13 + x = 0 + -13

Reorder the terms:
13 + -13 + -20qrst + -6qrstx + x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -20qrst + -6qrstx + x = 0 + -13
-20qrst + -6qrstx + x = 0 + -13

Combine like terms: 0 + -13 = -13
-20qrst + -6qrstx + x = -13

Add '20qrst' to each side of the equation.
-20qrst + -6qrstx + 20qrst + x = -13 + 20qrst

Reorder the terms:
-20qrst + 20qrst + -6qrstx + x = -13 + 20qrst

Combine like terms: -20qrst + 20qrst = 0
0 + -6qrstx + x = -13 + 20qrst
-6qrstx + x = -13 + 20qrst

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

See similar equations:

| 7+4x=25 | | X+2(x-4)=5(1-2x) | | 3f+4a=6 | | 10x+14=-3x+40 | | 6x+5=4x+41 | | 37-3x=9-7x | | 8(3y-5)=26y | | 10x+10x=109+x | | 17(4-z)+6z=20 | | 6-6x=2(x+5) | | 6a-3=6a+3 | | 3+5v=12 | | (7v-2y-6)(6v-3)= | | X=1.5y-3 | | (5v+6y)(7v-4y-3)= | | 3x-y^2=0 | | 5x+3=133 | | F(x)=ln(7x+5) | | 7x-2=4x+25 | | 8x+64=4x^2+4x+1 | | 9-6x=2-5x | | (4w-2y+5)(7w-4y+6)= | | 10x+3x+2= | | 5(x-1)=3x-19 | | 6+3(2x+5)=31 | | y+5x=25 | | 2x=3y-6 | | (7y+4)(3y+7u-2)= | | (7n+2)+(3n-8)= | | 3x+1=26 | | 3x-5(3/5x)=15 | | (x+2)(x+2)=36 |

Equations solver categories