x(9x-2)=(9x+8)(x-2)

Simple and best practice solution for x(9x-2)=(9x+8)(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 x(9x-2)=(9x+8)(x-2) equation:


Simplifying
x(9x + -2) = (9x + 8)(x + -2)

Reorder the terms:
x(-2 + 9x) = (9x + 8)(x + -2)
(-2 * x + 9x * x) = (9x + 8)(x + -2)
(-2x + 9x2) = (9x + 8)(x + -2)

Reorder the terms:
-2x + 9x2 = (8 + 9x)(x + -2)

Reorder the terms:
-2x + 9x2 = (8 + 9x)(-2 + x)

Multiply (8 + 9x) * (-2 + x)
-2x + 9x2 = (8(-2 + x) + 9x * (-2 + x))
-2x + 9x2 = ((-2 * 8 + x * 8) + 9x * (-2 + x))
-2x + 9x2 = ((-16 + 8x) + 9x * (-2 + x))
-2x + 9x2 = (-16 + 8x + (-2 * 9x + x * 9x))
-2x + 9x2 = (-16 + 8x + (-18x + 9x2))

Combine like terms: 8x + -18x = -10x
-2x + 9x2 = (-16 + -10x + 9x2)

Add '-9x2' to each side of the equation.
-2x + 9x2 + -9x2 = -16 + -10x + 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
-2x + 0 = -16 + -10x + 9x2 + -9x2
-2x = -16 + -10x + 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
-2x = -16 + -10x + 0
-2x = -16 + -10x

Solving
-2x = -16 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
-2x + 10x = -16 + -10x + 10x

Combine like terms: -2x + 10x = 8x
8x = -16 + -10x + 10x

Combine like terms: -10x + 10x = 0
8x = -16 + 0
8x = -16

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

Simplifying
x = -2

See similar equations:

| 8n+6(5n+1)=6(-3n+1)+4n | | X^2=65536-16 | | 7+3v-4+V= | | 2(3x-4)+6(x-5)=-3(3-5x)+5x-11 | | 3v^2=-12v | | 2m=60 | | x^3-16x^2-4x=10 | | 10x+6+X= | | 3r+4-2r-7=4r+3 | | -40-x=5(x-8) | | 5x-2y=3x | | a^2b^5-a^5b^2= | | a^2-10a+7=0 | | 3a+2b=100 | | 5y=28+y | | 13.3+2x=11.1(3) | | 4=2v+8 | | -7w=-27 | | 550=-5.5v+5400 | | (13.3+2x)=12.5(3) | | 4*x-3=X+6 | | x^3=8x^2 | | 3(x-4)=2x-12x | | TU=(2x-1) | | 3(4x+9)=2x | | 14x=34-3x | | F=-5.5V+5400 | | -8=3k-4K | | (13.3+2x)=12.5 | | X+3yi=-12-15i | | Bg=(2x-15) | | 9x^2-11x=-9 |

Equations solver categories