-5x(x+2)=3(x+2)

Simple and best practice solution for -5x(x+2)=3(x+2) 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(x+2)=3(x+2) equation:


Simplifying
-5x(x + 2) = 3(x + 2)

Reorder the terms:
-5x(2 + x) = 3(x + 2)
(2 * -5x + x * -5x) = 3(x + 2)
(-10x + -5x2) = 3(x + 2)

Reorder the terms:
-10x + -5x2 = 3(2 + x)
-10x + -5x2 = (2 * 3 + x * 3)
-10x + -5x2 = (6 + 3x)

Solving
-10x + -5x2 = 6 + 3x

Solving for variable 'x'.

Reorder the terms:
-6 + -10x + -3x + -5x2 = 6 + 3x + -6 + -3x

Combine like terms: -10x + -3x = -13x
-6 + -13x + -5x2 = 6 + 3x + -6 + -3x

Reorder the terms:
-6 + -13x + -5x2 = 6 + -6 + 3x + -3x

Combine like terms: 6 + -6 = 0
-6 + -13x + -5x2 = 0 + 3x + -3x
-6 + -13x + -5x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
-6 + -13x + -5x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(6 + 13x + 5x2) = 0

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

Ignore the factor -1.

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 '(3 + 5x)' equal to zero and attempt to solve:

Simplifying
3 + 5x = 0

Solving
3 + 5x = 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 + 5x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 5x = 0 + -3
5x = 0 + -3

Combine like terms: 0 + -3 = -3
5x = -3

Divide each side by '5'.
x = -0.6

Simplifying
x = -0.6
Solution
x = {-2, -0.6}

See similar equations:

| 4+2/s/S/3+1/6 | | 8-5x=(-8) | | 18+9w-4w=3w+-10 | | x^2+y^2-4x+6x+9=0 | | a+81=9a-7 | | x(x)+x+x+40=120 | | 8*(8-8)/9 | | 4[6-(1+2x)]-2x=-9+2(1-15x) | | 4(3y-2)-2y=10(y-2)-9 | | 0.3+(0.2a-0.5)+0.2(a+2)=1.3 | | 20=14n+-9+3(5n) | | 32*g=9/2 | | 4+3x+3(10+x)-2x=34 | | 2X+11X=38 | | 22-3a=3(-a+7)+1 | | -20+10x=28+12x+4 | | (4+(2/s))/((S/3)+(1/6)) | | 3.5t+19.36=-10.22 | | 4(x-0.75x)=x | | 11x+20x-6+1=-3x+1-6 | | 0.4n+14=18 | | x^4-52x^2+147=0 | | 5(y-3)=7(2y+1) | | -28x+4y=-24 | | 44+30=99+25p | | 30.24+x=.48(48+x) | | -159+(-14)= | | 3a+17=4a+11 | | 2(2r+8)=6(2r-16) | | 19.4q+2.6(-2-8q)=-6 | | 11-(x+8)=4x-7 | | 20=14n-9+3(n) |

Equations solver categories