x^2(x^2-49)-4(x^2-49)=0

Simple and best practice solution for x^2(x^2-49)-4(x^2-49)=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 x^2(x^2-49)-4(x^2-49)=0 equation: 


Simplifying
x2(x2 + -49) + -4(x2 + -49) = 0

Reorder the terms:
x2(-49 + x2) + -4(x2 + -49) = 0
(-49 * x2 + x2 * x2) + -4(x2 + -49) = 0
(-49x2 + x4) + -4(x2 + -49) = 0

Reorder the terms:
-49x2 + x4 + -4(-49 + x2) = 0
-49x2 + x4 + (-49 * -4 + x2 * -4) = 0
-49x2 + x4 + (196 + -4x2) = 0

Reorder the terms:
196 + -49x2 + -4x2 + x4 = 0

Combine like terms: -49x2 + -4x2 = -53x2
196 + -53x2 + x4 = 0

Solving
196 + -53x2 + x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(4 + -1x2)(49 + -1x2) = 0

Factor a difference between two squares.
((2 + x)(2 + -1x))(49 + -1x2) = 0

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


Subproblem 1
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 2
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

Subproblem 3
Set the factor '(7 + x)' equal to zero and attempt to solve:

Simplifying
7 + x = 0

Solving
7 + x = 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 + x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + x = 0 + -7
x = 0 + -7

Combine like terms: 0 + -7 = -7
x = -7

Simplifying
x = -7

Subproblem 4
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 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 + -1x = 0 + -7

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

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

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

Simplifying
x = 7
Solution
x = {-2, 2, -7, 7}

See similar equations:

| 255=n+55 | | 2=-4x-2 | | 2c^3+4c^2-126c=0 | | 4m+5=2 | | 13-x=21 | | 6x+8=104 | | 12x^4-x^2-1=0 | | 5x+24=15x-56 | | 8z+13=6z+8 | | 5(4y-2)=10y | | 3r-3=3r+5 | | 6(2-9x)=2x-7 | | 9x^4-72x^2+64=0 | | 5abc=y | | .40x+.05(200)=.20(54) | | 10x=9x-30 | | 8798x-9088=78 | | -4(3p+2)-28=3(2p+6) | | -5(-3-2z)=11z | | 12m-9=q | | -2(x+5)-5=-15 | | 3p+2(0.5p)=120 | | 6(7x-1)+5=24+3x | | 2c-7=15 | | y+2=-1+6 | | 8t+3=45 | | 77-5x=31x+21 | | -68=17y | | 6x^2+48x+96= | | 12-10x=84-31x | | 4p+7p= | | 5x^2+24x-5=0 |

Equations solver categories