(x-3)(x-6)=2x

Simple and best practice solution for (x-3)(x-6)=2x 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-3)(x-6)=2x equation: 


Simplifying
(x + -3)(x + -6) = 2x

Reorder the terms:
(-3 + x)(x + -6) = 2x

Reorder the terms:
(-3 + x)(-6 + x) = 2x

Multiply (-3 + x) * (-6 + x)
(-3(-6 + x) + x(-6 + x)) = 2x
((-6 * -3 + x * -3) + x(-6 + x)) = 2x
((18 + -3x) + x(-6 + x)) = 2x
(18 + -3x + (-6 * x + x * x)) = 2x
(18 + -3x + (-6x + x2)) = 2x

Combine like terms: -3x + -6x = -9x
(18 + -9x + x2) = 2x

Solving
18 + -9x + x2 = 2x

Solving for variable 'x'.

Reorder the terms:
18 + -9x + -2x + x2 = 2x + -2x

Combine like terms: -9x + -2x = -11x
18 + -11x + x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
18 + -11x + x2 = 0

Factor a trinomial.
(2 + -1x)(9 + -1x) = 0


Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

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

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

Divide each side by '-1'.
x = 2

Simplifying
x = 2

Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9
Solution
x = {2, 9}

See similar equations:

| a+b=s+r | | -3+8(3-7x)=133 | | 9x+4-6x-8=-22 | | 3y^2-2x-1=0 | | 4+5x=20+x | | 8(1+3p)=-136 | | 4x-3=14x-93 | | 4x-3=14x-92 | | 8y^3=2y | | 6(w-5)-3w=12+w | | 5x+16=14x-92 | | 8x-22=2x+2 | | 44x+4y=12 | | 25+(-12)= | | 5y-7=18 | | 6x+70=12x+10 | | (4-x)2=x-4 | | 7x-(6x-1)=2 | | 10x+5=5x+25 | | 20x^5-28x^4+24x^3+40x^2-62x+14=0 | | 2d^3+6d=7d^2 | | 10x+15=5x+25 | | (12p+7q)(-3p+12q)= | | 2d^3+6d=7d | | 5+w=(118-2w) | | 2x^3-15x^2-8x=0 | | -6x+15=17 | | 6x+15=-27 | | 2Y-11=-49 | | 5(3b-8)-8b=121 | | .25(x+6)=0.166(x+8) | | 1.25(x+6)=0.166(x+8) |

Equations solver categories