4x^3-9x^2=-2x

Simple and best practice solution for 4x^3-9x^2=-2x 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 4x^3-9x^2=-2x equation:


Simplifying
4x3 + -9x2 = -2x

Reorder the terms:
-9x2 + 4x3 = -2x

Solving
-9x2 + 4x3 = -2x

Solving for variable 'x'.

Reorder the terms:
2x + -9x2 + 4x3 = -2x + 2x

Combine like terms: -2x + 2x = 0
2x + -9x2 + 4x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(2 + -9x + 4x2) = 0

Factor a trinomial.
x((1 + -4x)(2 + -1x)) = 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 '(1 + -4x)' equal to zero and attempt to solve: Simplifying 1 + -4x = 0 Solving 1 + -4x = 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 + -4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = 0 + -1 -4x = 0 + -1 Combine like terms: 0 + -1 = -1 -4x = -1 Divide each side by '-4'. x = 0.25 Simplifying x = 0.25

Subproblem 3

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

Solution

x = {0, 0.25, 2}

See similar equations:

| 2n+11=7-n | | .15x/3=31.05 | | .15*x/3=31.05 | | y-10.24=5.3 | | (x+2)(x-5)=(2x+1)(x-5) | | 7-(x-4)=3x+2(x+1) | | 49n^2=4 | | x^2-9x-38=-9 | | 5x-17=2x+16 | | 125=7s+34 | | 10x^2+52x+10=0 | | 4x+8=3x-13 | | 7(-x)=3x-50 | | 14x^4-28x^5=0 | | 10x-6=3x+36 | | (x+4)(x-6)=-21 | | 9a=7a+10 | | .15*31.05= | | w^2+36+12w=0 | | 3(t+2)=15 | | 5x=35+2(-x) | | -(x+4)=2x+35 | | -w^2=36-12w | | 3n+1=-n+4 | | y-20=-50+15y | | (.15x)/3=31.05 | | 3x-13+3=12x-15-4 | | w^2=36-12w | | 27x^2+60x-7=0 | | (2x+1)=(x-7) | | 2u^2-8u-24=0 | | -3x+5y-15=0 |

Equations solver categories