(2x+22)(x-5)=0

Simple and best practice solution for (2x+22)(x-5)=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 (2x+22)(x-5)=0 equation: 


Simplifying
(2x + 22)(x + -5) = 0

Reorder the terms:
(22 + 2x)(x + -5) = 0

Reorder the terms:
(22 + 2x)(-5 + x) = 0

Multiply (22 + 2x) * (-5 + x)
(22(-5 + x) + 2x * (-5 + x)) = 0
((-5 * 22 + x * 22) + 2x * (-5 + x)) = 0
((-110 + 22x) + 2x * (-5 + x)) = 0
(-110 + 22x + (-5 * 2x + x * 2x)) = 0
(-110 + 22x + (-10x + 2x2)) = 0

Combine like terms: 22x + -10x = 12x
(-110 + 12x + 2x2) = 0

Solving
-110 + 12x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-55 + 6x + x2) = 0

Factor a trinomial.
2((-11 + -1x)(5 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-11 + -1x)' equal to zero and attempt to solve:

Simplifying
-11 + -1x = 0

Solving
-11 + -1x = 0

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

Add '11' to each side of the equation.
-11 + 11 + -1x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -1x = 0 + 11
-1x = 0 + 11

Combine like terms: 0 + 11 = 11
-1x = 11

Divide each side by '-1'.
x = -11

Simplifying
x = -11

Subproblem 2
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
Solution
x = {-11, 5}

See similar equations:

| q/4-2=8 | | -1x+2y=-6 | | -22-(x+6)=4x-4 | | (x+5)-4=x+44 | | 3w+4w+3y-11y+10x+5x= | | 28=8(x-7) | | 7-3x=51+8x | | -74=24-7z | | (2x+22)(x-5)=130 | | 4x^2-3x+8=35 | | 7x+6-3(x+1)=-4x-6 | | 3h+23=62 | | 6x-168=90 | | 13x+4y=-20 | | 3x+0y=-12 | | -t/6+13=-7 | | x+3+3x=75 | | -284=-6(7-8b) | | =-0.2d^2+2d+0.3 | | 2w+4w+9x+6x-15y+7y= | | u/5+37=45 | | 4x=-2x+19 | | 6x-34=90 | | 5p+pq-6pr= | | 20-3q=5 | | 3x-9=2x+21 | | p/4-3=2 | | 6(3n+2)=-144 | | 4(10-x)=17(x-1) | | v/8-2=1 | | 7y-5=51 | | sex(x)=3 |

Equations solver categories