9x^4=37x^2-4

Simple and best practice solution for 9x^4=37x^2-4 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 9x^4=37x^2-4 equation:


Simplifying
9x4 = 37x2 + -4

Reorder the terms:
9x4 = -4 + 37x2

Solving
9x4 = -4 + 37x2

Solving for variable 'x'.

Reorder the terms:
4 + -37x2 + 9x4 = -4 + 37x2 + 4 + -37x2

Reorder the terms:
4 + -37x2 + 9x4 = -4 + 4 + 37x2 + -37x2

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

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

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

Factor a difference between two squares.
((1 + 3x)(1 + -3x))(4 + -1x2) = 0

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

Subproblem 1

Set the factor '(1 + 3x)' equal to zero and attempt to solve: Simplifying 1 + 3x = 0 Solving 1 + 3x = 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 + 3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 0 + -1 3x = 0 + -1 Combine like terms: 0 + -1 = -1 3x = -1 Divide each side by '3'. x = -0.3333333333 Simplifying x = -0.3333333333

Subproblem 2

Set the factor '(1 + -3x)' equal to zero and attempt to solve: Simplifying 1 + -3x = 0 Solving 1 + -3x = 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 + -3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 0 + -1 -3x = 0 + -1 Combine like terms: 0 + -1 = -1 -3x = -1 Divide each side by '-3'. x = 0.3333333333 Simplifying x = 0.3333333333

Subproblem 3

Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2

Subproblem 4

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 = {-0.3333333333, 0.3333333333, -2, 2}

See similar equations:

| 13-44=3(x-5)-7 | | 3*x+7=17 | | 2y-6=-20 | | 7a-2=2(a+9) | | 289*5= | | 3x+15=-30 | | 2x^2+6-12=0 | | 2y^2-3y-5=0 | | 17*17= | | -2y-19=-9 | | -145+4x=37-10x | | 0.2(x-4)+1=0.15(x+2) | | 7y-2(y-2)=10y-(6y+12) | | 8x^5-6x^2+12x^3-9=0 | | 15y^2+23y+6=0 | | .03*729= | | x-11=168 | | 11x-79=3x+81 | | 6-5y=31 | | 9*9*9= | | 4n^2=-8n | | 3x^2+26x+48=0 | | -6x-43=x+55 | | 6(9s+4)=20-8s | | 2x-12=-7 | | 7x^2+37x-30=0 | | 30+2.475+4.5= | | 5x+2=4(x-4)+6 | | 4x+3-5x-12=0 | | .15*30= | | 31=-2(3b+7) | | 7x-24=34+9x |

Equations solver categories