5x(x-6)=(2x+1)(x-6)

Simple and best practice solution for 5x(x-6)=(2x+1)(x-6) 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 5x(x-6)=(2x+1)(x-6) equation: 


Simplifying
5x(x + -6) = (2x + 1)(x + -6)

Reorder the terms:
5x(-6 + x) = (2x + 1)(x + -6)
(-6 * 5x + x * 5x) = (2x + 1)(x + -6)
(-30x + 5x2) = (2x + 1)(x + -6)

Reorder the terms:
-30x + 5x2 = (1 + 2x)(x + -6)

Reorder the terms:
-30x + 5x2 = (1 + 2x)(-6 + x)

Multiply (1 + 2x) * (-6 + x)
-30x + 5x2 = (1(-6 + x) + 2x * (-6 + x))
-30x + 5x2 = ((-6 * 1 + x * 1) + 2x * (-6 + x))
-30x + 5x2 = ((-6 + 1x) + 2x * (-6 + x))
-30x + 5x2 = (-6 + 1x + (-6 * 2x + x * 2x))
-30x + 5x2 = (-6 + 1x + (-12x + 2x2))

Combine like terms: 1x + -12x = -11x
-30x + 5x2 = (-6 + -11x + 2x2)

Solving
-30x + 5x2 = -6 + -11x + 2x2

Solving for variable 'x'.

Reorder the terms:
6 + -30x + 11x + 5x2 + -2x2 = -6 + -11x + 2x2 + 6 + 11x + -2x2

Combine like terms: -30x + 11x = -19x
6 + -19x + 5x2 + -2x2 = -6 + -11x + 2x2 + 6 + 11x + -2x2

Combine like terms: 5x2 + -2x2 = 3x2
6 + -19x + 3x2 = -6 + -11x + 2x2 + 6 + 11x + -2x2

Reorder the terms:
6 + -19x + 3x2 = -6 + 6 + -11x + 11x + 2x2 + -2x2

Combine like terms: -6 + 6 = 0
6 + -19x + 3x2 = 0 + -11x + 11x + 2x2 + -2x2
6 + -19x + 3x2 = -11x + 11x + 2x2 + -2x2

Combine like terms: -11x + 11x = 0
6 + -19x + 3x2 = 0 + 2x2 + -2x2
6 + -19x + 3x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
6 + -19x + 3x2 = 0

Factor a trinomial.
(1 + -3x)(6 + -1x) = 0


Subproblem 1
Set the factor '(1 + -3x)' equal to zero and attempt to solve:

Simplifying
1 + -3x = 0

Solving
1 + -3x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = 0 + -1
-3x = 0 + -1

Combine like terms: 0 + -1 = -1
-3x = -1

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333

Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {0.3333333333, 6}

See similar equations:

| 3x+8=8x-21 | | 5s+2=3s | | -18=9x-5x+10 | | 8x-21=3x+8 | | 25k^2=330k-648 | | (a+3b)-(a-3b)= | | -x-15=12 | | 3a=0.6 | | 0=8x-x^2 | | 8x-5=9x | | 1.4(2h+3)=0.9(3H+2) | | 2y^2+10y-28=0 | | 4y+1=-5 | | 8x^2+12x-14=0 | | 2(4y+7)= | | 2(4x^2+8x-15)=0 | | (x+3)(8x-6)=2(x+8)(4x+2)-150 | | 7x^2+14x-121=0 | | (3x-8)=(8x-21) | | 3x^7+6x^6+9x^5+6x^4= | | 11m^2+km-2=0 | | 3(m+2)=8(m+7) | | 0.03=0.027 | | 4x+2=3x-1.5 | | 49-7x=11x+17 | | 2-2X=3X-8 | | 5x+4=3x-2x | | x(x+1)+1=0 | | -17.4t=87 | | t^2-16=15t | | -0.75=4+b | | 29-4X=9 |

Equations solver categories