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

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


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

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

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

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

Multiply (1 + 2x) * (-5 + x)
-30x + 6x2 = (1(-5 + x) + 2x * (-5 + x))
-30x + 6x2 = ((-5 * 1 + x * 1) + 2x * (-5 + x))
-30x + 6x2 = ((-5 + 1x) + 2x * (-5 + x))
-30x + 6x2 = (-5 + 1x + (-5 * 2x + x * 2x))
-30x + 6x2 = (-5 + 1x + (-10x + 2x2))

Combine like terms: 1x + -10x = -9x
-30x + 6x2 = (-5 + -9x + 2x2)

Solving
-30x + 6x2 = -5 + -9x + 2x2

Solving for variable 'x'.

Reorder the terms:
5 + -30x + 9x + 6x2 + -2x2 = -5 + -9x + 2x2 + 5 + 9x + -2x2

Combine like terms: -30x + 9x = -21x
5 + -21x + 6x2 + -2x2 = -5 + -9x + 2x2 + 5 + 9x + -2x2

Combine like terms: 6x2 + -2x2 = 4x2
5 + -21x + 4x2 = -5 + -9x + 2x2 + 5 + 9x + -2x2

Reorder the terms:
5 + -21x + 4x2 = -5 + 5 + -9x + 9x + 2x2 + -2x2

Combine like terms: -5 + 5 = 0
5 + -21x + 4x2 = 0 + -9x + 9x + 2x2 + -2x2
5 + -21x + 4x2 = -9x + 9x + 2x2 + -2x2

Combine like terms: -9x + 9x = 0
5 + -21x + 4x2 = 0 + 2x2 + -2x2
5 + -21x + 4x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
5 + -21x + 4x2 = 0

Factor a trinomial.
(1 + -4x)(5 + -1x) = 0


Subproblem 1
Set the factor '(1 + -4x)' equal to zero and attempt to solve:

Simplifying
1 + -4x = 0

Solving
1 + -4x = 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 + -4x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4x = 0 + -1
-4x = 0 + -1

Combine like terms: 0 + -1 = -1
-4x = -1

Divide each side by '-4'.
x = 0.25

Simplifying
x = 0.25

Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {0.25, 5}

See similar equations:

| 2x-45=x+23 | | 2x^2+5x=81 | | 2/x=(6/(5x))+4 | | 10-2X=3(4+X) | | 488(39x-88)=31(25x-315) | | 1.4+-4.6(t+6)=4.6 | | 2y=8x+-12 | | ((3y-2)/4)-((2y+3)/3)=4 | | u^2-2/3u+5=0 | | 4(2z-6)+8(4z+5)= | | 3x+7=9x^2+30x+25 | | 2x^2+10x+8/2X+2 | | 479(38x-97)=32(26x-307) | | f(x)=3x+6 | | 4n-40=7-14n+14 | | -19x=247 | | -221=2b-7(5b+8) | | 9/10*14 | | 3x=114 | | 12=s/4 | | 8h=52 | | -3x(4d-5e-3f)= | | 3w-12w= | | 9/10*5 | | 42a^2-33a-45=0 | | 9/10*2 | | 4+2x=32 | | 0.1x=25+0.05x-200 | | -7x-8=6x+44 | | A=5100[1+0.12(1)] | | 3/4*80 | | P(x)=-x^2+10x-21 |

Equations solver categories