x(2x-6)=(2x+8)(x-9)

Simple and best practice solution for x(2x-6)=(2x+8)(x-9) 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(2x-6)=(2x+8)(x-9) equation:


Simplifying
x(2x + -6) = (2x + 8)(x + -9)

Reorder the terms:
x(-6 + 2x) = (2x + 8)(x + -9)
(-6 * x + 2x * x) = (2x + 8)(x + -9)
(-6x + 2x2) = (2x + 8)(x + -9)

Reorder the terms:
-6x + 2x2 = (8 + 2x)(x + -9)

Reorder the terms:
-6x + 2x2 = (8 + 2x)(-9 + x)

Multiply (8 + 2x) * (-9 + x)
-6x + 2x2 = (8(-9 + x) + 2x * (-9 + x))
-6x + 2x2 = ((-9 * 8 + x * 8) + 2x * (-9 + x))
-6x + 2x2 = ((-72 + 8x) + 2x * (-9 + x))
-6x + 2x2 = (-72 + 8x + (-9 * 2x + x * 2x))
-6x + 2x2 = (-72 + 8x + (-18x + 2x2))

Combine like terms: 8x + -18x = -10x
-6x + 2x2 = (-72 + -10x + 2x2)

Add '-2x2' to each side of the equation.
-6x + 2x2 + -2x2 = -72 + -10x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-6x + 0 = -72 + -10x + 2x2 + -2x2
-6x = -72 + -10x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-6x = -72 + -10x + 0
-6x = -72 + -10x

Solving
-6x = -72 + -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.
-6x + 10x = -72 + -10x + 10x

Combine like terms: -6x + 10x = 4x
4x = -72 + -10x + 10x

Combine like terms: -10x + 10x = 0
4x = -72 + 0
4x = -72

Divide each side by '4'.
x = -18

Simplifying
x = -18

See similar equations:

| 2a+5=3a+1 | | 10+5k=5-8(7+7k) | | P+8=-24 | | 5(-11)+4(-11)=-99 | | 6080/12 | | 5n+8=6n+4 | | x-5=-4-10 | | 5*3=35 | | 4t+11=-1 | | 3(2x-7)+6(x-3)=-3(5-5x)+5x-10 | | f(3)=3(3)2-7 | | -3v-18+5v= | | 3n+2n=-20 | | -54=2(9)-8(9) | | 4(12-d)=12 | | -10(s+4)=-42 | | 2cos^2(3x)=1 | | 29.5-5.5=7.5(3x+3.5) | | -54=2(-9)-8(-9) | | 2c(c^2-6)=0 | | y=-34 | | 4x^3-40x^2-100x-48=0 | | 2(4s+8)=80 | | -15=-9(1)-6(1) | | 20x+10-14= | | -15=-9(-3)-6(-3) | | 5m^2-27m-18=0 | | (U+5)*8=64 | | 8(5x-8)=-384 | | 10t-6t=20 | | (Q-10)*2=4 | | -3w+3+4w= |

Equations solver categories