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

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


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

Reorder the terms:
0 = x(-3 + x) + 5(x + -3)
0 = (-3 * x + x * x) + 5(x + -3)
0 = (-3x + x2) + 5(x + -3)

Reorder the terms:
0 = -3x + x2 + 5(-3 + x)
0 = -3x + x2 + (-3 * 5 + x * 5)
0 = -3x + x2 + (-15 + 5x)

Reorder the terms:
0 = -15 + -3x + 5x + x2

Combine like terms: -3x + 5x = 2x
0 = -15 + 2x + x2

Solving
0 = -15 + 2x + x2

Solving for variable 'x'.

Combine like terms: 0 + 15 = 15
15 + -2x + -1x2 = -15 + 2x + x2 + 15 + -2x + -1x2

Reorder the terms:
15 + -2x + -1x2 = -15 + 15 + 2x + -2x + x2 + -1x2

Combine like terms: -15 + 15 = 0
15 + -2x + -1x2 = 0 + 2x + -2x + x2 + -1x2
15 + -2x + -1x2 = 2x + -2x + x2 + -1x2

Combine like terms: 2x + -2x = 0
15 + -2x + -1x2 = 0 + x2 + -1x2
15 + -2x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
15 + -2x + -1x2 = 0

Factor a trinomial.
(3 + -1x)(5 + x) = 0


Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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

Simplifying
5 + x = 0

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

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

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

Simplifying
x = -5
Solution
x = {3, -5}

See similar equations:

| 21x-(8+3x)=6(3x-2) | | t^2-3t+1.25=0 | | 2n^2+2n-n^2-6=0 | | 5(7+x)=30 | | 6x+4=4x+13 | | =100-75z-50z^2 | | 2x^4-9x^2+7= | | 0=-2x^3+6x^2-3 | | 5x^2-8n+2=0 | | Y=15X+8 | | 0.5-x=0.75 | | (6a)(7b)= | | 4x-5y=h | | a+a+7+7=50 | | 14+4(y-5)=6-2y | | 18-k=90 | | 6x+9=5x-29 | | 5-3x=-x | | =12x^2+16x-8 | | 5k+3k=9+3 | | cya+w=9 | | 2(-4)-5y-2= | | 8x-3=4x-7 | | =10r^3-35r | | 21x-11=5(4x-4)-9 | | -2e-4=-1-e | | 0.19y+0.03(y+7000)=1530 | | 8x+28=140 | | 4+3+b=26 | | 4a+4b=34 | | 0.7x-0.2=0.6x+5 | | (9x+2)-(2x-5)= |

Equations solver categories