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

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


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

Reorder the terms:
5x(-5 + x) = (4x + 4)(x + -5)
(-5 * 5x + x * 5x) = (4x + 4)(x + -5)
(-25x + 5x2) = (4x + 4)(x + -5)

Reorder the terms:
-25x + 5x2 = (4 + 4x)(x + -5)

Reorder the terms:
-25x + 5x2 = (4 + 4x)(-5 + x)

Multiply (4 + 4x) * (-5 + x)
-25x + 5x2 = (4(-5 + x) + 4x * (-5 + x))
-25x + 5x2 = ((-5 * 4 + x * 4) + 4x * (-5 + x))
-25x + 5x2 = ((-20 + 4x) + 4x * (-5 + x))
-25x + 5x2 = (-20 + 4x + (-5 * 4x + x * 4x))
-25x + 5x2 = (-20 + 4x + (-20x + 4x2))

Combine like terms: 4x + -20x = -16x
-25x + 5x2 = (-20 + -16x + 4x2)

Solving
-25x + 5x2 = -20 + -16x + 4x2

Solving for variable 'x'.

Reorder the terms:
20 + -25x + 16x + 5x2 + -4x2 = -20 + -16x + 4x2 + 20 + 16x + -4x2

Combine like terms: -25x + 16x = -9x
20 + -9x + 5x2 + -4x2 = -20 + -16x + 4x2 + 20 + 16x + -4x2

Combine like terms: 5x2 + -4x2 = 1x2
20 + -9x + 1x2 = -20 + -16x + 4x2 + 20 + 16x + -4x2

Reorder the terms:
20 + -9x + 1x2 = -20 + 20 + -16x + 16x + 4x2 + -4x2

Combine like terms: -20 + 20 = 0
20 + -9x + 1x2 = 0 + -16x + 16x + 4x2 + -4x2
20 + -9x + 1x2 = -16x + 16x + 4x2 + -4x2

Combine like terms: -16x + 16x = 0
20 + -9x + 1x2 = 0 + 4x2 + -4x2
20 + -9x + 1x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
20 + -9x + 1x2 = 0

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


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

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

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

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

Divide each side by '-1'.
x = 4

Simplifying
x = 4

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 = {4, 5}

See similar equations:

| m+19=7 | | 5-9x+18= | | 19+m=7 | | 3(2c-1)-1=2c+8 | | 3n*6=90 | | -7m+8m=15 | | F-mug=ma | | 2x-5+2x+1=108 | | -4(x-6)+4=6(x+4)+2 | | 24*162=n | | 8x+5=7x+4 | | -3+7x=4+2x | | -3(h-2)+f=-8 | | m-10=1 | | 3x+1=5c-9 | | x-2=2(x-l) | | x+7=x^4-20x^3+150x^2-500x+625 | | 4+x(5-x)=18 | | y=2(4a+6b) | | 6(4+5x)=204 | | 6x+(-2y)=28 | | 24x=6x | | -49x^2+238x+35=0 | | 12+m=5 | | -16=4m+8 | | 3x+7=x+53 | | 3-7x=52 | | 2(4+6x)=80 | | 12-1h=-1h+3 | | 4(5x+1)=144 | | 144x^2+72x-11=0 | | -15+2x=-45+3x |

Equations solver categories