5x^2-6x+3=(5x-3)(x-1)

Simple and best practice solution for 5x^2-6x+3=(5x-3)(x-1) 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^2-6x+3=(5x-3)(x-1) equation:


Simplifying
5x2 + -6x + 3 = (5x + -3)(x + -1)

Reorder the terms:
3 + -6x + 5x2 = (5x + -3)(x + -1)

Reorder the terms:
3 + -6x + 5x2 = (-3 + 5x)(x + -1)

Reorder the terms:
3 + -6x + 5x2 = (-3 + 5x)(-1 + x)

Multiply (-3 + 5x) * (-1 + x)
3 + -6x + 5x2 = (-3(-1 + x) + 5x * (-1 + x))
3 + -6x + 5x2 = ((-1 * -3 + x * -3) + 5x * (-1 + x))
3 + -6x + 5x2 = ((3 + -3x) + 5x * (-1 + x))
3 + -6x + 5x2 = (3 + -3x + (-1 * 5x + x * 5x))
3 + -6x + 5x2 = (3 + -3x + (-5x + 5x2))

Combine like terms: -3x + -5x = -8x
3 + -6x + 5x2 = (3 + -8x + 5x2)

Add '-3' to each side of the equation.
3 + -6x + -3 + 5x2 = 3 + -8x + -3 + 5x2

Reorder the terms:
3 + -3 + -6x + 5x2 = 3 + -8x + -3 + 5x2

Combine like terms: 3 + -3 = 0
0 + -6x + 5x2 = 3 + -8x + -3 + 5x2
-6x + 5x2 = 3 + -8x + -3 + 5x2

Reorder the terms:
-6x + 5x2 = 3 + -3 + -8x + 5x2

Combine like terms: 3 + -3 = 0
-6x + 5x2 = 0 + -8x + 5x2
-6x + 5x2 = -8x + 5x2

Add '-5x2' to each side of the equation.
-6x + 5x2 + -5x2 = -8x + 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-6x + 0 = -8x + 5x2 + -5x2
-6x = -8x + 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-6x = -8x + 0
-6x = -8x

Solving
-6x = -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-6x + 8x = -8x + 8x

Combine like terms: -6x + 8x = 2x
2x = -8x + 8x

Combine like terms: -8x + 8x = 0
2x = 0

Divide each side by '2'.
x = 0

Simplifying
x = 0

See similar equations:

| 36x^7y^3-8x^2y^4=4x^2y^3(9x^5+2y) | | 4(3x+4)-5(4-3x)=-31 | | 12x-25y= | | 15x+10=5(3x+2) | | x*x=x+2 | | 9j(5j+j)+(3j+2j)= | | 4(3x+4)-5(4-3x)=31 | | 2x+15=68 | | t-3/2+t+3/4=8-t/3+2 | | f(x)=6tan(5x) | | 1+6X=6+X | | 5-2(3x-1)=2x+1 | | 2x-10=6x+5 | | 3x^2-y^2+2y=3 | | 2x^2-8x=-120 | | -4x^2+16x=-48 | | cos(x)=-3m^2-4m | | x*2.4+y*2.3+z*4.2=9 | | 4x+2y=284 | | 45+y=30 | | 64w^3+81=89 | | (9*n)-(2*8)=11 | | (4x^2+7x-9)-(-2x^2-4x+6)=0 | | 5x-2(6x-1)=3(2x+5) | | -6ax-6b+a=0 | | 3t^3+50=77 | | (156-2x)(104-2x)=8349 | | Y=sin(x)-2cos(x) | | 5+4x^2=0 | | n*m=62 | | Log[4]*2x-1=3 | | 0.5x-76= |

Equations solver categories