5x(x-1)=(4x-7)(x-1)

Simple and best practice solution for 5x(x-1)=(4x-7)(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(x-1)=(4x-7)(x-1) equation: 


Simplifying
5x(x + -1) = (4x + -7)(x + -1)

Reorder the terms:
5x(-1 + x) = (4x + -7)(x + -1)
(-1 * 5x + x * 5x) = (4x + -7)(x + -1)
(-5x + 5x2) = (4x + -7)(x + -1)

Reorder the terms:
-5x + 5x2 = (-7 + 4x)(x + -1)

Reorder the terms:
-5x + 5x2 = (-7 + 4x)(-1 + x)

Multiply (-7 + 4x) * (-1 + x)
-5x + 5x2 = (-7(-1 + x) + 4x * (-1 + x))
-5x + 5x2 = ((-1 * -7 + x * -7) + 4x * (-1 + x))
-5x + 5x2 = ((7 + -7x) + 4x * (-1 + x))
-5x + 5x2 = (7 + -7x + (-1 * 4x + x * 4x))
-5x + 5x2 = (7 + -7x + (-4x + 4x2))

Combine like terms: -7x + -4x = -11x
-5x + 5x2 = (7 + -11x + 4x2)

Solving
-5x + 5x2 = 7 + -11x + 4x2

Solving for variable 'x'.

Reorder the terms:
-7 + -5x + 11x + 5x2 + -4x2 = 7 + -11x + 4x2 + -7 + 11x + -4x2

Combine like terms: -5x + 11x = 6x
-7 + 6x + 5x2 + -4x2 = 7 + -11x + 4x2 + -7 + 11x + -4x2

Combine like terms: 5x2 + -4x2 = 1x2
-7 + 6x + 1x2 = 7 + -11x + 4x2 + -7 + 11x + -4x2

Reorder the terms:
-7 + 6x + 1x2 = 7 + -7 + -11x + 11x + 4x2 + -4x2

Combine like terms: 7 + -7 = 0
-7 + 6x + 1x2 = 0 + -11x + 11x + 4x2 + -4x2
-7 + 6x + 1x2 = -11x + 11x + 4x2 + -4x2

Combine like terms: -11x + 11x = 0
-7 + 6x + 1x2 = 0 + 4x2 + -4x2
-7 + 6x + 1x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-7 + 6x + 1x2 = 0

Factor a trinomial.
(-7 + -1x)(1 + -1x) = 0


Subproblem 1
Set the factor '(-7 + -1x)' equal to zero and attempt to solve:

Simplifying
-7 + -1x = 0

Solving
-7 + -1x = 0

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

Add '7' to each side of the equation.
-7 + 7 + -1x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1x = 0 + 7
-1x = 0 + 7

Combine like terms: 0 + 7 = 7
-1x = 7

Divide each side by '-1'.
x = -7

Simplifying
x = -7

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

Simplifying
1 + -1x = 0

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

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

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

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

Simplifying
x = 1
Solution
x = {-7, 1}

See similar equations:

| 39-7y-2y^2=0 | | 4(y-4)=2(y+2) | | 3t^2-10t-25=0 | | 5x-4+3x=4x+24 | | 180-(5*9-28)=x | | 3(2-k)=2(y+2) | | 5x+14=2x+3x+14 | | 4k-11k+4=2k^2 | | 3j-18=-6p | | 4x^2-12x=(2x^2-3)-9 | | 12p-8=-4p | | x(5x-18)+90=180 | | (4x-10)=(135) | | 58=2(m+4)+m | | 4(2x-3)-5(3x+1)=4 | | -3+3y+3=3y | | sin(33)=14/x | | .071*33sin=x | | 123(X)-65=567-28 | | 4x(4x)=5x+10 | | 10x-12=x+2 | | 400=2(x+59)+2x | | 5(2x+13)=25 | | -5(0-6)=0 | | (x-3)/×=96.5 | | x+x+7018.75=280612.06 | | 36-X=52(3) | | 2p^2+9p+10=0 | | 3((3x^2)+(y^2))dx-(2xy)dy=0 | | x+x-7=280612.06 | | (x-3)/×96.5 | | (-3x+2i)(x-6i)=0 |

Equations solver categories