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

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


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

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

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

Multiply (-5 + x) * (4 + x)
(-5(4 + x) + x(4 + x)) = 2(x + -5)
((4 * -5 + x * -5) + x(4 + x)) = 2(x + -5)
((-20 + -5x) + x(4 + x)) = 2(x + -5)
(-20 + -5x + (4 * x + x * x)) = 2(x + -5)
(-20 + -5x + (4x + x2)) = 2(x + -5)

Combine like terms: -5x + 4x = -1x
(-20 + -1x + x2) = 2(x + -5)

Reorder the terms:
-20 + -1x + x2 = 2(-5 + x)
-20 + -1x + x2 = (-5 * 2 + x * 2)
-20 + -1x + x2 = (-10 + 2x)

Solving
-20 + -1x + x2 = -10 + 2x

Solving for variable 'x'.

Reorder the terms:
-20 + 10 + -1x + -2x + x2 = -10 + 2x + 10 + -2x

Combine like terms: -20 + 10 = -10
-10 + -1x + -2x + x2 = -10 + 2x + 10 + -2x

Combine like terms: -1x + -2x = -3x
-10 + -3x + x2 = -10 + 2x + 10 + -2x

Reorder the terms:
-10 + -3x + x2 = -10 + 10 + 2x + -2x

Combine like terms: -10 + 10 = 0
-10 + -3x + x2 = 0 + 2x + -2x
-10 + -3x + x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
-10 + -3x + x2 = 0

Factor a trinomial.
(-2 + -1x)(5 + -1x) = 0


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

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

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 = {-2, 5}

See similar equations:

| (x/-3)=-6 | | P=abc | | 2(n+4)=n+n+8 | | 9(x-9)+x=10(x-9)+9 | | 5x/6=2x-7 | | 1.9(8-x)=1.7(6-x) | | 6(k-3)= | | 3+x=x-2 | | 3+c=2-2c | | 0.9x-19=1.6x-26 | | x^2+20x-400=0 | | x+2x+(2x+8)=73 | | R^2=35+2r | | d-7=-4 | | -(3y+1)-(-2y-5)=1 | | X^2=-4-5x | | 2(7+x)-6=10 | | 3(9-3x)=9 | | 5x-45y=-30 | | 2y+13=5y+7 | | ((1-x)/2)-((x-2)/3)=-x/4 | | -4-2z=6 | | (2.5x)-(x)+4000=b | | 2x^2+20x-400=0 | | -0.3x^2+1.75x+1.25=0 | | 5+5+x=17 | | 24a/(x-24)=12a/30 | | x+y=(-4) | | -56=-2(5w+8)-(3w-12) | | 6(4x-2)=3(8x+8) | | 4m+2.3=9.2 | | -(7x-3)= |

Equations solver categories