(5x+1)(-2x-4)=0

Simple and best practice solution for (5x+1)(-2x-4)=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 (5x+1)(-2x-4)=0 equation: 


Simplifying
(5x + 1)(-2x + -4) = 0

Reorder the terms:
(1 + 5x)(-2x + -4) = 0

Reorder the terms:
(1 + 5x)(-4 + -2x) = 0

Multiply (1 + 5x) * (-4 + -2x)
(1(-4 + -2x) + 5x * (-4 + -2x)) = 0
((-4 * 1 + -2x * 1) + 5x * (-4 + -2x)) = 0
((-4 + -2x) + 5x * (-4 + -2x)) = 0
(-4 + -2x + (-4 * 5x + -2x * 5x)) = 0
(-4 + -2x + (-20x + -10x2)) = 0

Combine like terms: -2x + -20x = -22x
(-4 + -22x + -10x2) = 0

Solving
-4 + -22x + -10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-2'.
-2(2 + 11x + 5x2) = 0

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

Ignore the factor -2.

Subproblem 1
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

Subproblem 2
Set the factor '(1 + 5x)' equal to zero and attempt to solve:

Simplifying
1 + 5x = 0

Solving
1 + 5x = 0

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

Add '-1' to each side of the equation.
1 + -1 + 5x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 5x = 0 + -1
5x = 0 + -1

Combine like terms: 0 + -1 = -1
5x = -1

Divide each side by '5'.
x = -0.2

Simplifying
x = -0.2
Solution
x = {-2, -0.2}

See similar equations:

| 155-60+x=180 | | (-1+3)= | | X*7+4=4 | | Z*10+5=4 | | g(5)=75 | | (9x+15)=69 | | -10+5x+40+90=180 | | 2-2x=10-3x | | x+90+99=180 | | 60+90+30x=180 | | x+90+96=180 | | (a+24)(a-28)=0 | | 7(m+7)=35 | | 8x+1=3-12x | | 5r^2+22r+8=0 | | 8+d+19= | | -40+k+6k^2=0 | | 15-14x+36x=0 | | (15y-6)=69 | | 6w-5w-2w+a= | | 7x/4-3x/1=20-70 | | 12+x+9= | | 7x/4-3x=20-70 | | (x^2+5)-9(7+x)=-76 | | 0.03x+0.35=0.02x+45 | | -2-(-2)(4)= | | -5/x=-50 | | x+x+2=508 | | 0.5x=0.3x+3.4 | | x+112=110 | | 4x-5y=67 | | 0.0003x-0.2=0.01 |

Equations solver categories