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

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


Simplifying
2x2(x + 4)(x + 4) = (3x + 2)(x + -2)

Reorder the terms:
2x2(4 + x)(x + 4) = (3x + 2)(x + -2)

Reorder the terms:
2x2(4 + x)(4 + x) = (3x + 2)(x + -2)

Multiply (4 + x) * (4 + x)
2x2(4(4 + x) + x(4 + x)) = (3x + 2)(x + -2)
2x2((4 * 4 + x * 4) + x(4 + x)) = (3x + 2)(x + -2)
2x2((16 + 4x) + x(4 + x)) = (3x + 2)(x + -2)
2x2(16 + 4x + (4 * x + x * x)) = (3x + 2)(x + -2)
2x2(16 + 4x + (4x + x2)) = (3x + 2)(x + -2)

Combine like terms: 4x + 4x = 8x
2x2(16 + 8x + x2) = (3x + 2)(x + -2)
(16 * 2x2 + 8x * 2x2 + x2 * 2x2) = (3x + 2)(x + -2)
(32x2 + 16x3 + 2x4) = (3x + 2)(x + -2)

Reorder the terms:
32x2 + 16x3 + 2x4 = (2 + 3x)(x + -2)

Reorder the terms:
32x2 + 16x3 + 2x4 = (2 + 3x)(-2 + x)

Multiply (2 + 3x) * (-2 + x)
32x2 + 16x3 + 2x4 = (2(-2 + x) + 3x * (-2 + x))
32x2 + 16x3 + 2x4 = ((-2 * 2 + x * 2) + 3x * (-2 + x))
32x2 + 16x3 + 2x4 = ((-4 + 2x) + 3x * (-2 + x))
32x2 + 16x3 + 2x4 = (-4 + 2x + (-2 * 3x + x * 3x))
32x2 + 16x3 + 2x4 = (-4 + 2x + (-6x + 3x2))

Combine like terms: 2x + -6x = -4x
32x2 + 16x3 + 2x4 = (-4 + -4x + 3x2)

Solving
32x2 + 16x3 + 2x4 = -4 + -4x + 3x2

Solving for variable 'x'.

Reorder the terms:
4 + 4x + 32x2 + -3x2 + 16x3 + 2x4 = -4 + -4x + 3x2 + 4 + 4x + -3x2

Combine like terms: 32x2 + -3x2 = 29x2
4 + 4x + 29x2 + 16x3 + 2x4 = -4 + -4x + 3x2 + 4 + 4x + -3x2

Reorder the terms:
4 + 4x + 29x2 + 16x3 + 2x4 = -4 + 4 + -4x + 4x + 3x2 + -3x2

Combine like terms: -4 + 4 = 0
4 + 4x + 29x2 + 16x3 + 2x4 = 0 + -4x + 4x + 3x2 + -3x2
4 + 4x + 29x2 + 16x3 + 2x4 = -4x + 4x + 3x2 + -3x2

Combine like terms: -4x + 4x = 0
4 + 4x + 29x2 + 16x3 + 2x4 = 0 + 3x2 + -3x2
4 + 4x + 29x2 + 16x3 + 2x4 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
4 + 4x + 29x2 + 16x3 + 2x4 = 0

The solution to this equation could not be determined.

See similar equations:

| 3x+6=7x+8 | | 334=2b+14 | | 16x^2-8x+5=0 | | x(x+1)=2*x+1+29 | | 3a+3(a-10)=96 | | 9+x=3-27 | | 5(z-4)-z=4z-20 | | 35-6y=17 | | x^2+20x+9=7x-3 | | 1.8q-4.9-3.1q=-2.3q-3.4 | | 9(v+2)-3v=2(3v+2)-9 | | Rx+sx=1t | | 13(p+8+6q)= | | -1/4(x-8)+1/2(x+2)=x+15 | | 0.1*y=0.09 | | 5a-3+3a=4a+21 | | -1/4(x-8)+1/2(x+2)=x+5 | | -16+2x=6 | | 6x/7-2x/21=25/21 | | 2x-3(x-5)=130 | | 3x^2+7x-20= | | -(3y+5)-(-2y-7)=-2 | | 2(x+4)=x+5 | | 5/8+x/8=33/8 | | p+3=7 | | -9=5x+21+3x | | 4x^2+10x=-56 | | 5x-4=2x+15 | | 2x+89=7x+8 | | 1+3n-3=10 | | 15x^2=620 | | 47-12=x+14 |

Equations solver categories