24x^3+8x^2=100x^2-28x

Simple and best practice solution for 24x^3+8x^2=100x^2-28x 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 24x^3+8x^2=100x^2-28x equation: 


Simplifying
24x3 + 8x2 = 100x2 + -28x

Reorder the terms:
8x2 + 24x3 = 100x2 + -28x

Reorder the terms:
8x2 + 24x3 = -28x + 100x2

Solving
8x2 + 24x3 = -28x + 100x2

Solving for variable 'x'.

Reorder the terms:
28x + 8x2 + -100x2 + 24x3 = -28x + 100x2 + 28x + -100x2

Combine like terms: 8x2 + -100x2 = -92x2
28x + -92x2 + 24x3 = -28x + 100x2 + 28x + -100x2

Reorder the terms:
28x + -92x2 + 24x3 = -28x + 28x + 100x2 + -100x2

Combine like terms: -28x + 28x = 0
28x + -92x2 + 24x3 = 0 + 100x2 + -100x2
28x + -92x2 + 24x3 = 100x2 + -100x2

Combine like terms: 100x2 + -100x2 = 0
28x + -92x2 + 24x3 = 0

Factor out the Greatest Common Factor (GCF), '4x'.
4x(7 + -23x + 6x2) = 0

Factor a trinomial.
4x((1 + -3x)(7 + -2x)) = 0

Ignore the factor 4.

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 '(1 + -3x)' equal to zero and attempt to solve:

Simplifying
1 + -3x = 0

Solving
1 + -3x = 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 + -3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = 0 + -1
-3x = 0 + -1

Combine like terms: 0 + -1 = -1
-3x = -1

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333

Subproblem 3
Set the factor '(7 + -2x)' equal to zero and attempt to solve:

Simplifying
7 + -2x = 0

Solving
7 + -2x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2x = 0 + -7
-2x = 0 + -7

Combine like terms: 0 + -7 = -7
-2x = -7

Divide each side by '-2'.
x = 3.5

Simplifying
x = 3.5
Solution
x = {0, 0.3333333333, 3.5}

See similar equations:

| 17a+38=95+16a | | 2x+4=6x-y | | 2*x=24-3x | | 1.5/2=0.1/x | | 2x+2-8x=2(x-9) | | 6x^2+3x^2-4x-8=0 | | 7y^2+5y^2+3= | | (1/3x4)(1/7x6) | | 4x^3-36x=15 | | 5s+1=0 | | 1/3.6=170/x | | 3(2x-4)+3x^2=6(x+6) | | -1(5s+4)=0 | | 2.2/1=145/x | | f(x)=3e^2x | | 2x^2+16x+12=2 | | 8(m-1)=4(m-1) | | 5s+3=s-1 | | 21w-15=21+20w | | 0.25/2=0.5/x | | x^4+x^2=6 | | 2x^2+16+12=2 | | 6m+5=7 | | 19p-28=2+18p | | 12=uv | | 3x^2+3x-35=0 | | 22-3x=10-7x | | 365-(8*7)*5=x | | 2(a+4)=-a-14+3a | | (x^5-4x^3)+(-8x^2+32)=0 | | f(x)=3*x^4 | | 6z^2-21=0 |

Equations solver categories