5x(x-5)-3(x-5)=5(x+5)(x-5)

Simple and best practice solution for 5x(x-5)-3(x-5)=5(x+5)(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)-3(x-5)=5(x+5)(x-5) equation: 


Simplifying
5x(x + -5) + -3(x + -5) = 5(x + 5)(x + -5)

Reorder the terms:
5x(-5 + x) + -3(x + -5) = 5(x + 5)(x + -5)
(-5 * 5x + x * 5x) + -3(x + -5) = 5(x + 5)(x + -5)
(-25x + 5x2) + -3(x + -5) = 5(x + 5)(x + -5)

Reorder the terms:
-25x + 5x2 + -3(-5 + x) = 5(x + 5)(x + -5)
-25x + 5x2 + (-5 * -3 + x * -3) = 5(x + 5)(x + -5)
-25x + 5x2 + (15 + -3x) = 5(x + 5)(x + -5)

Reorder the terms:
15 + -25x + -3x + 5x2 = 5(x + 5)(x + -5)

Combine like terms: -25x + -3x = -28x
15 + -28x + 5x2 = 5(x + 5)(x + -5)

Reorder the terms:
15 + -28x + 5x2 = 5(5 + x)(x + -5)

Reorder the terms:
15 + -28x + 5x2 = 5(5 + x)(-5 + x)

Multiply (5 + x) * (-5 + x)
15 + -28x + 5x2 = 5(5(-5 + x) + x(-5 + x))
15 + -28x + 5x2 = 5((-5 * 5 + x * 5) + x(-5 + x))
15 + -28x + 5x2 = 5((-25 + 5x) + x(-5 + x))
15 + -28x + 5x2 = 5(-25 + 5x + (-5 * x + x * x))
15 + -28x + 5x2 = 5(-25 + 5x + (-5x + x2))

Combine like terms: 5x + -5x = 0
15 + -28x + 5x2 = 5(-25 + 0 + x2)
15 + -28x + 5x2 = 5(-25 + x2)
15 + -28x + 5x2 = (-25 * 5 + x2 * 5)
15 + -28x + 5x2 = (-125 + 5x2)

Add '-5x2' to each side of the equation.
15 + -28x + 5x2 + -5x2 = -125 + 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
15 + -28x + 0 = -125 + 5x2 + -5x2
15 + -28x = -125 + 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
15 + -28x = -125 + 0
15 + -28x = -125

Solving
15 + -28x = -125

Solving for variable 'x'.

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

Add '-15' to each side of the equation.
15 + -15 + -28x = -125 + -15

Combine like terms: 15 + -15 = 0
0 + -28x = -125 + -15
-28x = -125 + -15

Combine like terms: -125 + -15 = -140
-28x = -140

Divide each side by '-28'.
x = 5

Simplifying
x = 5

See similar equations:

| x/11-4=7 | | -3(x-3)-3(x-1)=-4(x-1)(x-3) | | 250=(50)(3)+b | | x+26=4x-1 | | 6(7x+14)=7(6x+12) | | 3(7(x)-8)=7(3(x)+2) | | 3(7x-8)=7(3x+2) | | X=5x+47-44x(x+4+6x)+x(154x+154x)+171x-47 | | X=5x+47-44x(x+4+6x)+x(154x+154x) | | 50+22/16x=173.5 | | X=5x+47-44x(x+4+6x)+171x | | X=5x+47-44x(x+4+6x) | | 3(7x-8)=7(3x+12) | | (3x-4)(x+5)=(x+1)(1-4x) | | v-5/8=-1/2 | | x/6+4=8 | | -7x+20=-3x+100 | | y=r | | x=6-9+3y | | 4x-7-3x-4= | | -3x+47=5x+103 | | -2+.3x=-9 | | 50+22/16x=20 | | x+0=15 | | (4x-5)(x+4)=(x+1)(5x-4) | | 12=8q+20 | | t+6.6=14.4 | | -6+5x=6x-7 | | -3x+47=5x+100 | | 16x^2-81y^2=0 | | 5x^2+y=5 | | 10n^2*2=292 |

Equations solver categories