60x^4+57x^3-165x^2=

Simple and best practice solution for 60x^4+57x^3-165x^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 60x^4+57x^3-165x^2= equation: 


Simplifying
60x4 + 57x3 + -165x2 = 0

Reorder the terms:
-165x2 + 57x3 + 60x4 = 0

Solving
-165x2 + 57x3 + 60x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x2'.
3x2(-55 + 19x + 20x2) = 0

Factor a trinomial.
3x2((-11 + -5x)(5 + -4x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(-11 + -5x)' equal to zero and attempt to solve:

Simplifying
-11 + -5x = 0

Solving
-11 + -5x = 0

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

Add '11' to each side of the equation.
-11 + 11 + -5x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -5x = 0 + 11
-5x = 0 + 11

Combine like terms: 0 + 11 = 11
-5x = 11

Divide each side by '-5'.
x = -2.2

Simplifying
x = -2.2

Subproblem 3
Set the factor '(5 + -4x)' equal to zero and attempt to solve:

Simplifying
5 + -4x = 0

Solving
5 + -4x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -4x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = 0 + -5
-4x = 0 + -5

Combine like terms: 0 + -5 = -5
-4x = -5

Divide each side by '-4'.
x = 1.25

Simplifying
x = 1.25
Solution
x = {0, -2.2, 1.25}

See similar equations:

| 3a(6b+5c)-5c(2a-2b)= | | 11x-65=5x+5 | | 3(x-4)-2x=2(x-6)-x | | 3(x-4)-2x=2(x-6)-z | | y=-2n^2+84n | | 24y^2+4y-4= | | -4z-16=-4(z+4) | | 6y-2y-5+1= | | 3r+3-(6-6r-9+3r)=2r+10-4 | | 5/8x=18+3x | | x^2+y^2-2xy-4x-8y+10=0 | | 5/8x+3x=18 | | 5/8x+3=18 | | r=p(1+a) | | 5x-5=11x-65 | | 18=5/8x-3 | | 12+4=10x+16 | | 200(1.04)t=1600 | | 5/8x=18-3 | | =24u-9v-12 | | (4c-8d)3= | | 5/8x=18+3 | | x^2+y^2-16x+18y=-120 | | 2.2(z-0.5)=-0.3(z+19) | | 5/8(x+3)=18 | | 0.4z=z | | -6-(8z+7)=3(-2z+8)+1 | | -3x^2+13x-15=0 | | 6z+32=4(4z+5) | | -8+3x=3(x+6) | | 14z-12=2(7z-6) | | 14z-12=2(7x-6) |

Equations solver categories