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

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


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

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

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

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

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

Combine like terms: -4x + 4x = 0
2x + x2 = (-16 + 0 + x2)
2x + x2 = (-16 + x2)

Add '-1x2' to each side of the equation.
2x + x2 + -1x2 = -16 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
2x + 0 = -16 + x2 + -1x2
2x = -16 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
2x = -16 + 0
2x = -16

Solving
2x = -16

Solving for variable 'x'.

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

Divide each side by '2'.
x = -8

Simplifying
x = -8

See similar equations:

| 168a4b5c3/14ab5c3 | | 3(m-6)=9 | | 6w=7w+15 | | 25a+3-2N+7a-6= | | Y-2=4/-3(x-4) | | -7x^2+28x+84=0 | | 12x+40-9x=-24-5x | | 10x+6=9x+14 | | 5(3s+10)=215 | | 3a^2-4a-64=0 | | -16x+8x=2(-12-5x) | | 7x^2+28x+84=0 | | 33x=82 | | 1.1x-2.7=10 | | 1.5x=1.5Y | | 5x+21=-2x | | 24.01+.02x+x^2=0 | | 5(a-7)=40 | | (u-6)*8=64 | | 3x^2=10x-x^3 | | 10x+28-9x=-28-6x | | 3(10x-13y)-4(-2x-3y)= | | 5x-1=98 | | 9(2n+3)=6(7n+4)+6 | | 5(z+2)=-30 | | x^2-18x+41=0 | | 2b^2+8b+8=0 | | 0.30(2450000-100000)= | | 5.5(x-1.7)=15.4 | | 85=x^2(3) | | 5+2*20=h | | 15(2x+8)=5(3x+33) |

Equations solver categories