4x^4-37x^2+1=-8

Simple and best practice solution for 4x^4-37x^2+1=-8 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^4-37x^2+1=-8 equation: 


Simplifying
4x4 + -37x2 + 1 = -8

Reorder the terms:
1 + -37x2 + 4x4 = -8

Solving
1 + -37x2 + 4x4 = -8

Solving for variable 'x'.

Reorder the terms:
1 + 8 + -37x2 + 4x4 = -8 + 8

Combine like terms: 1 + 8 = 9
9 + -37x2 + 4x4 = -8 + 8

Combine like terms: -8 + 8 = 0
9 + -37x2 + 4x4 = 0

Factor a trinomial.
(1 + -4x2)(9 + -1x2) = 0

Factor a difference between two squares.
((1 + 2x)(1 + -2x))(9 + -1x2) = 0

Factor a difference between two squares.
((3 + x)(3 + -1x))(1 + 2x)(1 + -2x) = 0


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

Simplifying
1 + 2x = 0

Solving
1 + 2x = 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 + 2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 0 + -1
2x = 0 + -1

Combine like terms: 0 + -1 = -1
2x = -1

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5

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

Simplifying
1 + -2x = 0

Solving
1 + -2x = 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 + -2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = 0 + -1
-2x = 0 + -1

Combine like terms: 0 + -1 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5

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

Simplifying
3 + x = 0

Solving
3 + x = 0

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

Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3

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

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

Simplifying
x = -3

Subproblem 4
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

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

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

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-0.5, 0.5, -3, 3}

See similar equations:

| 6+3*7-2= | | -300+150x=450 | | -(2x-4)+3(x-1)=-2(x-1)-(x-3) | | -5(-1.6)+9y=8 | | 2w+5w+w+28=180 | | 14=5x-7 | | 13(9c-36)=-9 | | -5(7x+10)=0 | | 62-2y=10 | | 3t+15-5= | | n^2=-2 | | y=2zx+2zy+2xy-w | | 34(4x+8)=-12 | | 4(-5.75)-4y=-23 | | 8m+7=143 | | 12.4=3w+8-0.5 | | 4x-4y=-23 | | 7t^6=0 | | 6x+36+3x+81=180 | | 7-6(2x-3)=2x+7 | | 40+30s=220 | | 32x^4+450x=0 | | 3y-1=y-1 | | -x+(3x+3)= | | 7x+3x+40+90=180 | | 3x+-2(x+4)+3= | | 130-(6x+11)=6(x+9)+x | | 168+166+7x+4x=180 | | 10(8c-1)-16=78c+10 | | 7(3n-4)=(5n+2)+13 | | 2x^2+15=x^2+8x | | 10y=19 |

Equations solver categories