(3x^2+4w^2)(3x^2-4w^2)=

Simple and best practice solution for (3x^2+4w^2)(3x^2-4w^2)= 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 (3x^2+4w^2)(3x^2-4w^2)= equation: 


Simplifying
(3x2 + 4w2)(3x2 + -4w2) = 0

Reorder the terms:
(4w2 + 3x2)(3x2 + -4w2) = 0

Reorder the terms:
(4w2 + 3x2)(-4w2 + 3x2) = 0

Multiply (4w2 + 3x2) * (-4w2 + 3x2)
(4w2 * (-4w2 + 3x2) + 3x2 * (-4w2 + 3x2)) = 0
((-4w2 * 4w2 + 3x2 * 4w2) + 3x2 * (-4w2 + 3x2)) = 0

Reorder the terms:
((12w2x2 + -16w4) + 3x2 * (-4w2 + 3x2)) = 0
((12w2x2 + -16w4) + 3x2 * (-4w2 + 3x2)) = 0
(12w2x2 + -16w4 + (-4w2 * 3x2 + 3x2 * 3x2)) = 0
(12w2x2 + -16w4 + (-12w2x2 + 9x4)) = 0

Reorder the terms:
(12w2x2 + -12w2x2 + -16w4 + 9x4) = 0

Combine like terms: 12w2x2 + -12w2x2 = 0
(0 + -16w4 + 9x4) = 0
(-16w4 + 9x4) = 0

Solving
-16w4 + 9x4 = 0

Solving for variable 'w'.

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

Add '-9x4' to each side of the equation.
-16w4 + 9x4 + -9x4 = 0 + -9x4

Combine like terms: 9x4 + -9x4 = 0
-16w4 + 0 = 0 + -9x4
-16w4 = 0 + -9x4
Remove the zero:
-16w4 = -9x4

Divide each side by '-16'.
w4 = 0.5625x4

Simplifying
w4 = 0.5625x4

Combine like terms: 0.5625x4 + -0.5625x4 = 0.0000
w4 + -0.5625x4 = 0.0000

Factor a difference between two squares.
(w2 + 0.75x2)(w2 + -0.75x2) = 0.0000


Subproblem 1
Set the factor '(w2 + 0.75x2)' equal to zero and attempt to solve:

Simplifying
w2 + 0.75x2 = 0

Solving
w2 + 0.75x2 = 0

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

Add '-0.75x2' to each side of the equation.
w2 + 0.75x2 + -0.75x2 = 0 + -0.75x2

Combine like terms: 0.75x2 + -0.75x2 = 0.00
w2 + 0.00 = 0 + -0.75x2
w2 = 0 + -0.75x2
Remove the zero:
w2 = -0.75x2

Simplifying
w2 = -0.75x2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(w2 + -0.75x2)' equal to zero and attempt to solve:

Simplifying
w2 + -0.75x2 = 0

Solving
w2 + -0.75x2 = 0

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

Add '0.75x2' to each side of the equation.
w2 + -0.75x2 + 0.75x2 = 0 + 0.75x2

Combine like terms: -0.75x2 + 0.75x2 = 0.00
w2 + 0.00 = 0 + 0.75x2
w2 = 0 + 0.75x2
Remove the zero:
w2 = 0.75x2

Simplifying
w2 = 0.75x2

Take the square root of each side:
w = {-0.866025404x, 0.866025404x}
Solution
w = {-0.866025404x, 0.866025404x}

See similar equations:

| 8x=-64 | | 16-2x=6x | | 2x(x-1)=4 | | 5x-15x-x+3=0 | | 25+0.2n=29.2 | | 2x-3(4)=-9 | | X+2(6)=13 | | (3y+2a)(3y-2a)= | | 4y+2=y^2-10 | | 72-3y=-18 | | x^2+y^2-10x+4y+3=0 | | (a+5)(a-8a+8)= | | x^2+y^2+4y+3=10x | | (4a-3y)(4a-3y)= | | 5a+4a+6a-5= | | 2x-3(3-x)=21 | | 99-5x=10x-24 | | 29+.08x=46.12 | | y=-4x-2 | | 6x^2+25x-4=0 | | 3x-13=5x-37 | | 70-3x=7 | | 5x+x-9x= | | (3-6x^2)(3-6x^2)= | | 3x^2+5x^3=7 | | y=5x^2-13 | | x^2+14x+48= | | 7y+2(y-4)=4(y+1)-3 | | x(x+14)=180 | | (y^2-4w^2)(y^2-4w^2)= | | 16e+891=-71 | | 60-2x=4 |

Equations solver categories