x^2(x^2-64)-49(x^2-64)=0

Simple and best practice solution for x^2(x^2-64)-49(x^2-64)=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^2-64)-49(x^2-64)=0 equation: 


Simplifying
x2(x2 + -64) + -49(x2 + -64) = 0

Reorder the terms:
x2(-64 + x2) + -49(x2 + -64) = 0
(-64 * x2 + x2 * x2) + -49(x2 + -64) = 0
(-64x2 + x4) + -49(x2 + -64) = 0

Reorder the terms:
-64x2 + x4 + -49(-64 + x2) = 0
-64x2 + x4 + (-64 * -49 + x2 * -49) = 0
-64x2 + x4 + (3136 + -49x2) = 0

Reorder the terms:
3136 + -64x2 + -49x2 + x4 = 0

Combine like terms: -64x2 + -49x2 = -113x2
3136 + -113x2 + x4 = 0

Solving
3136 + -113x2 + x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(49 + -1x2)(64 + -1x2) = 0

Factor a difference between two squares.
((7 + x)(7 + -1x))(64 + -1x2) = 0

Factor a difference between two squares.
((8 + x)(8 + -1x))(7 + x)(7 + -1x) = 0


Subproblem 1
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 2
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

Subproblem 3
Set the factor '(8 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

Solving
8 + x = 0

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

Add '-8' to each side of the equation.
8 + -8 + x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + x = 0 + -8
x = 0 + -8

Combine like terms: 0 + -8 = -8
x = -8

Simplifying
x = -8

Subproblem 4
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {-7, 7, -8, 8}

See similar equations:

| 2.9kg= | | 28+4y=1.2x | | 5x-7y+2y-9x+5y= | | 6+a=15 | | 14t+-26=0 | | (1/95)b=27170/1045 | | x-3+x+8+x+x-5=360 | | 6x+3(2x+6)=90 | | x^2-13x+11= | | 4(ab*ab)+(a*a)b= | | 23246753+3= | | 132*15= | | .6*18= | | 4a-7b^2=c | | (4x-8)^1/2=4 | | 20.48/0.2 | | 4+y=12-2(y+1) | | 3x-5x+5=x-9+14 | | 6.4*3.2= | | y=1/3(-6)-4 | | 3a-5b-7b-8a+5ab= | | 6(x-1)+3(-2x+2)= | | 9x-12y=60 | | 4y=15-6+7 | | -10-y=-16 | | 20ab-ab= | | 110/5 | | y=1/3(-9)-4 | | x^2y^2-5xy-36=0 | | 325x+385(35-x)=10957 | | 11*10= | | 3(c*c)+7(c*c)= |

Equations solver categories