9x^4-49x^2=0

Simple and best practice solution for 9x^4-49x^2=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 9x^4-49x^2=0 equation: 


Simplifying
9x4 + -49x2 = 0

Reorder the terms:
-49x2 + 9x4 = 0

Solving
-49x2 + 9x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-49 + 9x2) = 0

Factor a difference between two squares.
x2((7 + 3x)(-7 + 3x)) = 0


Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(7 + 3x)' equal to zero and attempt to solve:

Simplifying
7 + 3x = 0

Solving
7 + 3x = 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 + 3x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 3x = 0 + -7
3x = 0 + -7

Combine like terms: 0 + -7 = -7
3x = -7

Divide each side by '3'.
x = -2.333333333

Simplifying
x = -2.333333333

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

Simplifying
-7 + 3x = 0

Solving
-7 + 3x = 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 + 3x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 3x = 0 + 7
3x = 0 + 7

Combine like terms: 0 + 7 = 7
3x = 7

Divide each side by '3'.
x = 2.333333333

Simplifying
x = 2.333333333
Solution
x = {0, -2.333333333, 2.333333333}

See similar equations:

| 5c+(2c-1)+c= | | 2X^2+2X+98=0 | | -7(11+4n)+2=-7(1+4n) | | 2(-3n-1)=-8n | | 9C=5F-1604 | | 2(9v+10)-9v=-2(1-4v) | | 9(4d+4)-8=4(8d+20) | | 8(-4z+3)=-8z | | X+15=8x | | -9h=6+6(-4h+19) | | -9h=6+6 | | 13+5(7v+15)=20v-14-18 | | x^10+10x=0 | | 3x+3+1+2x=2(2x+2)+x | | 5u-18=19-4(2u-20) | | 5x+13y=500 | | 3x+13y=500 | | 1x+43=86 | | a^2+2B+98=0 | | -8(-3s-5)=-3(-15-10)-11s | | 10(b+11)=-7b+3(10+11b) | | -0.8=-0.5u+0.3u | | 4(-9y+14)=-13y-13 | | (40x+15)+(15x)=180 | | (40x+15)+15x=180 | | 18j-4(3j+1)=-14+7+9j | | a^2+2B+2=0 | | 2.2c+19.72-2.6c=-2.4c-19.08 | | 14y-6=24 | | -3(n-4)+3(1+5n)=n-3+5n | | 0.9w+8.8w-16.72=13.68+19.2w | | -8(n+5)+5=-30-8n-5 |

Equations solver categories