(5-x)(3x+6)=0

Simple and best practice solution for (5-x)(3x+6)=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 (5-x)(3x+6)=0 equation:


Simplifying
(5 + -1x)(3x + 6) = 0

Reorder the terms:
(5 + -1x)(6 + 3x) = 0

Multiply (5 + -1x) * (6 + 3x)
(5(6 + 3x) + -1x * (6 + 3x)) = 0
((6 * 5 + 3x * 5) + -1x * (6 + 3x)) = 0
((30 + 15x) + -1x * (6 + 3x)) = 0
(30 + 15x + (6 * -1x + 3x * -1x)) = 0
(30 + 15x + (-6x + -3x2)) = 0

Combine like terms: 15x + -6x = 9x
(30 + 9x + -3x2) = 0

Solving
30 + 9x + -3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(10 + 3x + -1x2) = 0

Factor a trinomial.
3((5 + -1x)(2 + x)) = 0

Ignore the factor 3.

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 '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2

Solution

x = {5, -2}

See similar equations:

| 12x^3=15 | | 114-4x=14x+16 | | 83-5x=31x+23 | | 7x-x^2=11 | | 4x*-15x-4=0 | | 59-2x=16x+21 | | -6(-1)-2= | | -y-6y= | | -x^3+7x^2-11x=0 | | -135-7x=10x | | 12x-34=5x+2 | | 3x-x^2-5=0 | | 5x^8-4x^6-2x^4-4x^2+1=0 | | (n+2)*2=8 | | (n-5)*2=6 | | (n+1)*8=24 | | x^3+2*x^2-19x=0 | | 4-2y+3=-9 | | x^4-3x-4=0 | | 200+3=1800 | | 3*4x-6x=2*9x | | 40t=55+3t | | x-(x-0.2x)=43.46 | | -x^3+5x^2+10x-50=0 | | 12=4x-x | | 2(x-1)=3/5(10+5x) | | 63x^7=7x^5 | | y=-4(2)+5 | | y=-4(1)+5 | | (8x-12)(10-15x)=0 | | y=-4(0)+5 | | y=-4(-1)+5 |

Equations solver categories