15x^2=x(2-8x^2)

Simple and best practice solution for 15x^2=x(2-8x^2) 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 15x^2=x(2-8x^2) equation: 


Simplifying
15x2 = x(2 + -8x2)
15x2 = (2 * x + -8x2 * x)
15x2 = (2x + -8x3)

Solving
15x2 = 2x + -8x3

Solving for variable 'x'.

Reorder the terms:
-2x + 15x2 + 8x3 = 2x + -8x3 + -2x + 8x3

Reorder the terms:
-2x + 15x2 + 8x3 = 2x + -2x + -8x3 + 8x3

Combine like terms: 2x + -2x = 0
-2x + 15x2 + 8x3 = 0 + -8x3 + 8x3
-2x + 15x2 + 8x3 = -8x3 + 8x3

Combine like terms: -8x3 + 8x3 = 0
-2x + 15x2 + 8x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-2 + 15x + 8x2) = 0

Factor a trinomial.
x((-2 + -1x)(1 + -8x)) = 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 '(-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

Subproblem 3
Set the factor '(1 + -8x)' equal to zero and attempt to solve:

Simplifying
1 + -8x = 0

Solving
1 + -8x = 0

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

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

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

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

Divide each side by '-8'.
x = 0.125

Simplifying
x = 0.125
Solution
x = {0, -2, 0.125}

See similar equations:

| 2(x+2)+2x=6 | | -16t^2+32t+3=0 | | x^2+2x=110 | | 4(4x-3)-5(x-12)= | | 45*45/9=x | | 27000-390x+x^2=0 | | 98x^2+291x-130=0 | | 2s-12s=4s-12 | | 2s-122s=4s-12 | | 3x-25=2x+4 | | 4f+3f+18=11 | | 4x+6(x+2)=33 | | 11x-201=2x-12 | | 13-10x=98-45x | | 6n+13=46 | | 2.3x+3.9-6.62x=0.12 | | 4x+9=-15x-8 | | 0.01x^2+0.006x-0.08=0 | | x=-2/3+4 | | 49x^2+90x-22=0 | | c=15.57m | | 7ab*4ab= | | 6/2(1+2)=a | | 34.1/(-5.5)= | | 34.1(-5.5)= | | 26+(17x)=-42 | | (8x)+(6-x)=34 | | 4(t-3)-3(t-2)=2t+8 | | 2(20+n)=52 | | y+5.3=2.6 | | u+6=15 | | x+2.7=3.1 |

Equations solver categories