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

Simple and best practice solution for x(x-3)+5(x-3)=0 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)=0 equation:


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

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

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

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

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

Solving
-15 + 2x + x2 = 0

Solving for variable 'x'.

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

Solution

x = {-5, 3}

See similar equations:

| 5x+10-4x=34 | | Y=3x+(-5) | | 18+3*(6/2) | | (11x-22)/2=2x+3 | | 3y+4x=14y+95 | | 21X+32-4=43X-2 | | -7x+10=-3(x+6) | | 2x-10+3x-10=90 | | (25/2)/(-5/2) | | 3+-5x=x+5 | | -11-6x=x-4 | | 2x+3y=126 | | 17-9/2 | | 6=-4/5n | | 4x+4x=6+5x | | 8n+14=4(2n+5) | | 7d-12=-5 | | 84=-3(b-8)-7b | | 3x+2+56=90 | | 20x+5=25x | | -3.5*-3.75= | | 84=-3(b-7) | | 4x^2+2whenx=2 | | 412/48+51/12 | | 5x-6=5(x+7) | | 17-(9/2) | | 3+4x=-7x+3 | | (x+2)(x+7)=(x+3)(x+2) | | -57+7x=23+3x | | 8+20z=-4(-5z-2) | | 17/(9/2) | | (4)(4)+2= |

Equations solver categories