4x^4-29x^2+7=0

Simple and best practice solution for 4x^4-29x^2+7=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 4x^4-29x^2+7=0 equation: 


Simplifying
4x4 + -29x2 + 7 = 0

Reorder the terms:
7 + -29x2 + 4x4 = 0

Solving
7 + -29x2 + 4x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -4x2)(7 + -1x2) = 0

Factor a difference between two squares.
((1 + 2x)(1 + -2x))(7 + -1x2) = 0


Subproblem 1
Set the factor '(7 + -1x2)' equal to zero and attempt to solve:

Simplifying
7 + -1x2 = 0

Solving
7 + -1x2 = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x2 = 0 + -7
-1x2 = 0 + -7

Combine like terms: 0 + -7 = -7
-1x2 = -7

Divide each side by '-1'.
x2 = 7

Simplifying
x2 = 7

Take the square root of each side:
x = {-2.645751311, 2.645751311}

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 '(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
Solution
x = {-2.645751311, 2.645751311, -0.5, 0.5}

See similar equations:

| (ab^2+3a^3b)+(4a^3b-ab^2)= | | 6+32*4= | | 8a^2-8=0 | | 8a^2-20a=0 | | -4(3y+2)= | | 3x^2+7=8x | | -5(X+6)-4=2-36 | | -60+20=-4x+12x | | 23X+8-26X=7-8 | | 2Y^2+19Y+35=Y^2+49 | | 6(8y-5)=49y | | 8f+2-f=-3 | | 5X+16-4X=-2-10 | | 9X=3(7X+16) | | 67Y=22(3Y+17) | | 5-2(6x+1)=5x-2(2x+5) | | -28x^2-23x+15=0 | | 3-3=14X+11X | | (3x+1)(3x-4)-x(2x+3)=-1 | | y^2+11y+10= | | (5x)(x+2)=0 | | 6X-13=77 | | 145-7= | | 2X=12-(-8) | | 64x^5-9x^3=0 | | 4W-13W=-81 | | 2x+7x-15= | | 6x+8+10x= | | 3x+5x-8= | | -7-3=-5+X | | 5x+7(1-2x)=4-5(x+1) | | x^2+15x+59=5 |

Equations solver categories