4x^4=29x^2-25

Simple and best practice solution for 4x^4=29x^2-25 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^2-25 equation: 


Simplifying
4x4 = 29x2 + -25

Reorder the terms:
4x4 = -25 + 29x2

Solving
4x4 = -25 + 29x2

Solving for variable 'x'.

Reorder the terms:
25 + -29x2 + 4x4 = -25 + 29x2 + 25 + -29x2

Reorder the terms:
25 + -29x2 + 4x4 = -25 + 25 + 29x2 + -29x2

Combine like terms: -25 + 25 = 0
25 + -29x2 + 4x4 = 0 + 29x2 + -29x2
25 + -29x2 + 4x4 = 29x2 + -29x2

Combine like terms: 29x2 + -29x2 = 0
25 + -29x2 + 4x4 = 0

Factor a trinomial.
(1 + -1x2)(25 + -4x2) = 0

Factor a difference between two squares.
((1 + x)(1 + -1x))(25 + -4x2) = 0

Factor a difference between two squares.
((5 + 2x)(5 + -2x))(1 + x)(1 + -1x) = 0


Subproblem 1
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 2
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

Subproblem 3
Set the factor '(5 + 2x)' equal to zero and attempt to solve:

Simplifying
5 + 2x = 0

Solving
5 + 2x = 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 + 2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 0 + -5
2x = 0 + -5

Combine like terms: 0 + -5 = -5
2x = -5

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5

Subproblem 4
Set the factor '(5 + -2x)' equal to zero and attempt to solve:

Simplifying
5 + -2x = 0

Solving
5 + -2x = 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 + -2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 0 + -5
-2x = 0 + -5

Combine like terms: 0 + -5 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5
Solution
x = {-1, 1, -2.5, 2.5}

See similar equations:

| 5x=21-1 | | 4b-8=4 | | -6+p+4p-9p= | | P=c+2b+3a | | -4p-3=2+3 | | 6-1=2 | | .50*r+10=.75*r+6 | | -12=x-20 | | 10.8+c=15.7 | | x-2.73=5.04 | | 5(x+7)+5=5x+2 | | 12+8x-3=3x-3-3 | | x+27=138 | | (.50)r=(.75)r | | 147-4x=41x+22 | | 10d-2=7d-7.4 | | 9(n+7)=3(21+3n) | | 5-7x=57-21x | | .50xr=.75xr | | 12d-9=15d+9 | | 62x-152=18(14x) | | -10m-4-2m=-(6m+10)+3(m+8) | | n-(-4)=9 | | 6x+x-87=81 | | 4t-19=3c-9 | | x+110=221 | | m-7=-5 | | 115-6x=4x+5 | | 4x+6=6r | | -65-2x=-6x+43 | | -43-3x=11-9x | | 300=3*y |

Equations solver categories