90x^4+84x^3-390x^2=0

Simple and best practice solution for 90x^4+84x^3-390x^2=0 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 90x^4+84x^3-390x^2=0 equation: 


Simplifying
90x4 + 84x3 + -390x2 = 0

Reorder the terms:
-390x2 + 84x3 + 90x4 = 0

Solving
-390x2 + 84x3 + 90x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x2'.
6x2(-65 + 14x + 15x2) = 0

Factor a trinomial.
6x2((-13 + -5x)(5 + -3x)) = 0

Ignore the factor 6.

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 '(-13 + -5x)' equal to zero and attempt to solve:

Simplifying
-13 + -5x = 0

Solving
-13 + -5x = 0

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

Add '13' to each side of the equation.
-13 + 13 + -5x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -5x = 0 + 13
-5x = 0 + 13

Combine like terms: 0 + 13 = 13
-5x = 13

Divide each side by '-5'.
x = -2.6

Simplifying
x = -2.6

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

Simplifying
5 + -3x = 0

Solving
5 + -3x = 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 + -3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = 0 + -5
-3x = 0 + -5

Combine like terms: 0 + -5 = -5
-3x = -5

Divide each side by '-3'.
x = 1.666666667

Simplifying
x = 1.666666667
Solution
x = {0, -2.6, 1.666666667}

See similar equations:

| x=20y | | 6x^2+9=45 | | .05(x)+.10(x+10)+.25(2(x+10))=12.50 | | 2x-y/2=1-y/3 | | m-17.45=-3.45 | | 5.12+m=19.12 | | 27/21•7 | | x^2+xy=y | | 56+v-v^2=0 | | 27/21•7= | | y=3x^3+xy | | 184=c+273 | | 5(3x+1)+6=16x+4 | | 4x-7=-x+7 | | 2x-4(x-4)=-7+3x+13 | | ln(y)=13x+ln(C) | | 7r^4-448=0 | | -2s^4+12s^3=0 | | w(w+7)(w-12)=0 | | 674=f+460 | | 114+12m=222 | | 21n-57=342 | | 464=c+273 | | -20/(x-5)=-10/x | | x^4+x^2-33=0 | | 440=f+460 | | 9x^2-24x+6=0 | | -7-3x+4=-24x+6-3x | | [x+(2x-3)][3x-(x+1)]= | | 3+x*i=(x+1)+2*i | | 3400=f+460 | | 3(2x+1)+7=7x+1 |

Equations solver categories