5x(x-5)=(4x+9)(x-5)

Simple and best practice solution for 5x(x-5)=(4x+9)(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+9)(x-5) equation: 


Simplifying
5x(x + -5) = (4x + 9)(x + -5)

Reorder the terms:
5x(-5 + x) = (4x + 9)(x + -5)
(-5 * 5x + x * 5x) = (4x + 9)(x + -5)
(-25x + 5x2) = (4x + 9)(x + -5)

Reorder the terms:
-25x + 5x2 = (9 + 4x)(x + -5)

Reorder the terms:
-25x + 5x2 = (9 + 4x)(-5 + x)

Multiply (9 + 4x) * (-5 + x)
-25x + 5x2 = (9(-5 + x) + 4x * (-5 + x))
-25x + 5x2 = ((-5 * 9 + x * 9) + 4x * (-5 + x))
-25x + 5x2 = ((-45 + 9x) + 4x * (-5 + x))
-25x + 5x2 = (-45 + 9x + (-5 * 4x + x * 4x))
-25x + 5x2 = (-45 + 9x + (-20x + 4x2))

Combine like terms: 9x + -20x = -11x
-25x + 5x2 = (-45 + -11x + 4x2)

Solving
-25x + 5x2 = -45 + -11x + 4x2

Solving for variable 'x'.

Reorder the terms:
45 + -25x + 11x + 5x2 + -4x2 = -45 + -11x + 4x2 + 45 + 11x + -4x2

Combine like terms: -25x + 11x = -14x
45 + -14x + 5x2 + -4x2 = -45 + -11x + 4x2 + 45 + 11x + -4x2

Combine like terms: 5x2 + -4x2 = 1x2
45 + -14x + 1x2 = -45 + -11x + 4x2 + 45 + 11x + -4x2

Reorder the terms:
45 + -14x + 1x2 = -45 + 45 + -11x + 11x + 4x2 + -4x2

Combine like terms: -45 + 45 = 0
45 + -14x + 1x2 = 0 + -11x + 11x + 4x2 + -4x2
45 + -14x + 1x2 = -11x + 11x + 4x2 + -4x2

Combine like terms: -11x + 11x = 0
45 + -14x + 1x2 = 0 + 4x2 + -4x2
45 + -14x + 1x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
45 + -14x + 1x2 = 0

Factor a trinomial.
(5 + -1x)(9 + -1x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9
Solution
x = {5, 9}

See similar equations:

| 2v^2+2v-3=0 | | (2a+3)x^2+6bx+5c=5x^2-30x-35 | | [x]=5x+24 | | x/6=-33 | | 59=-y/8 | | y/8=-4/9 | | 5x+350=950 | | y=-32/9 | | 6(x+34)=300 | | 10/7=5y | | x^2-10=2x+132 | | 9y*9y= | | 6084=x^2 | | -a/6=4 | | y=2(2)-14 | | 0.6(x-0.1)-0.5(x+4)=0.34 | | -6=2x-14 | | 4x+132=7x+275 | | 5-5ln(x)=8 | | 123*5=x | | 1/6x^2-5/4x-9/4=0 | | 2.5/56x=1 | | 8y-1=3y+29 | | -10=-10+m | | 2.5/56x=0 | | 2t+5t+3t-4= | | 40*x+(1.5x*10)=769 | | 3/2(4x-6) | | F=BXR | | 6y+12=15-3y | | x^2+4x=4x+64 | | x-1/20=8/5 |

Equations solver categories