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

Simple and best practice solution for 4(x-1)=5(x-1)(x+2) 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 4(x-1)=5(x-1)(x+2) equation: 


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

Reorder the terms:
4(-1 + x) = 5(x + -1)(x + 2)
(-1 * 4 + x * 4) = 5(x + -1)(x + 2)
(-4 + 4x) = 5(x + -1)(x + 2)

Reorder the terms:
-4 + 4x = 5(-1 + x)(x + 2)

Reorder the terms:
-4 + 4x = 5(-1 + x)(2 + x)

Multiply (-1 + x) * (2 + x)
-4 + 4x = 5(-1(2 + x) + x(2 + x))
-4 + 4x = 5((2 * -1 + x * -1) + x(2 + x))
-4 + 4x = 5((-2 + -1x) + x(2 + x))
-4 + 4x = 5(-2 + -1x + (2 * x + x * x))
-4 + 4x = 5(-2 + -1x + (2x + x2))

Combine like terms: -1x + 2x = 1x
-4 + 4x = 5(-2 + 1x + x2)
-4 + 4x = (-2 * 5 + 1x * 5 + x2 * 5)
-4 + 4x = (-10 + 5x + 5x2)

Solving
-4 + 4x = -10 + 5x + 5x2

Solving for variable 'x'.

Reorder the terms:
-4 + 10 + 4x + -5x + -5x2 = -10 + 5x + 5x2 + 10 + -5x + -5x2

Combine like terms: -4 + 10 = 6
6 + 4x + -5x + -5x2 = -10 + 5x + 5x2 + 10 + -5x + -5x2

Combine like terms: 4x + -5x = -1x
6 + -1x + -5x2 = -10 + 5x + 5x2 + 10 + -5x + -5x2

Reorder the terms:
6 + -1x + -5x2 = -10 + 10 + 5x + -5x + 5x2 + -5x2

Combine like terms: -10 + 10 = 0
6 + -1x + -5x2 = 0 + 5x + -5x + 5x2 + -5x2
6 + -1x + -5x2 = 5x + -5x + 5x2 + -5x2

Combine like terms: 5x + -5x = 0
6 + -1x + -5x2 = 0 + 5x2 + -5x2
6 + -1x + -5x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
6 + -1x + -5x2 = 0

Factor a trinomial.
(1 + -1x)(6 + 5x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(6 + 5x)' equal to zero and attempt to solve:

Simplifying
6 + 5x = 0

Solving
6 + 5x = 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 + 5x = 0 + -6

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

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

Divide each side by '5'.
x = -1.2

Simplifying
x = -1.2
Solution
x = {1, -1.2}

See similar equations:

| 0+2y=-16 | | x+2(0)=-16 | | 0-2y=4 | | x-2(0)=4 | | 1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1*0=z | | h(x)=[x]+4 | | -(8y+2)-(-7y-8)=5 | | 40+3x=14-9x | | 6(2x-6)=2(6x+9) | | 1/3+2/4=24 | | 1+1+1+1= | | 4+10z-1=8z+52-5z | | 4x+11=101+10x | | 12=15+13z | | 6x+13x=171 | | -x+5x=36 | | X+2X=X+8 | | 16-(3-4y)=2(y+2) | | 4m=-12 | | 7X+13=4X+28 | | -2x-3=5x-31 | | 2(3x+6)=3(2x+4) | | 1.9q-5.9-2.5q=-1.6q-5.6 | | 12x+9-5=11x-2 | | 5X+8=4X+15 | | 10x-2=4x+10 | | y-41=-31 | | 2m^2+11m+12= | | y^2-4y+5=0 | | 2x+.5(0)=12 | | 2(0)+.5y=12 | | 2x+6=87 |

Equations solver categories