55-60x^2+5x^4=0

Simple and best practice solution for 55-60x^2+5x^4=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 55-60x^2+5x^4=0 equation: 


Simplifying
55 + -60x2 + 5x4 = 0

Solving
55 + -60x2 + 5x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(11 + -12x2 + x4) = 0

Factor a trinomial.
5((1 + -1x2)(11 + -1x2)) = 0

Factor a difference between two squares.
5(((1 + x)(1 + -1x))(11 + -1x2)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(11 + -1x2)' equal to zero and attempt to solve:

Simplifying
11 + -1x2 = 0

Solving
11 + -1x2 = 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 + -1x2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1x2 = 0 + -11
-1x2 = 0 + -11

Combine like terms: 0 + -11 = -11
-1x2 = -11

Divide each side by '-1'.
x2 = 11

Simplifying
x2 = 11

Take the square root of each side:
x = {-3.31662479, 3.31662479}

Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

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

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

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

Simplifying
x = -1

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

Simplifying
1 + -1x = 0

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

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

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

Divide each side by '-1'.
x = 1

Simplifying
x = 1
Solution
x = {-3.31662479, 3.31662479, -1, 1}

See similar equations:

| 6x^2-11xy-10y^2+19y-6=0 | | o(n)=n*log(n) | | o(n)=n*n+n | | o(n)=2n-5 | | 4(2-p)=8 | | 6x^2-11xy-10y^2+19y-6= | | 12=2(47) | | 4=5(x+2) | | 12=4(7+2) | | 13=4(7+2) | | 26=4(7+2) | | 26=2(47) | | 26=2(4b) | | (39s-5)=-21 | | 3(t-2)=21 | | A/6-7=1 | | 16=4+3(y-2) | | 5x-(75-x)2=180 | | x^2+512=32x | | 6x+0.5=7x-0.83 | | 2s+6=0 | | F=4f+14 | | (5+z)(5z-8)=0 | | 7(z+8)= | | 15X^2+16X=15 | | 137+173= | | (7*8+z*7)= | | (x+1)7+(x+2)3=5 | | a+40=6a | | 5m+(-10n)=20 | | 3x^2-50x+100=0 | | 9x+29=78 |

Equations solver categories