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

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


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

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

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

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

Combine like terms: 1x + 4x = 5x
-5(2 + 5x + 2x2) = 0
(2 * -5 + 5x * -5 + 2x2 * -5) = 0
(-10 + -25x + -10x2) = 0

Solving
-10 + -25x + -10x2 = 0

Solving for variable 'x'.

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

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

Ignore the factor -5.

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 + 2x)' equal to zero and attempt to solve:

Simplifying
1 + 2x = 0

Solving
1 + 2x = 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 + 2x = 0 + -1

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

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

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5
Solution
x = {-2, -0.5}

See similar equations:

| -5(2x+1)(x+2)=2 | | 9x^2=25factor | | -(5x+3)-(6x-7)=8-(3x+1) | | 8z+x-8x= | | 5+.50=x | | -4(-11v+19)=6(10v-7)-16v | | 2(3x-1)(2x+5)=0 | | 3m+3m=12 | | -3y+6=-6y-15 | | 20+4.5y=8 | | 5+.50x=1+x | | 3757=551+x | | 3m+3m= | | (y^2-1)dx+6xdy=0 | | 16y 2 ?9=0 | | x-0.23x= | | 2x^2+3x-0.28=0 | | (x+5)*5=234 | | 4m+6=5m | | x+6x-91=0 | | x^3+ax^2-(2a^2+12)x+(7a+10)=7 | | -97=7+8(4x+7) | | -4(2p+4)-2=2(3p+5) | | 8z+5z= | | 5x+6x-17=3(4x+2)+5 | | -3(-6w+9)-2w=6(w-4)-5 | | 10+1x-1.3x=0 | | -9c-4-8+7c=10 | | -4n=6+25 | | 1x=20-2x+1 | | 6c+7-2c=-16 | | 9.5(2)= |

Equations solver categories