(3x+6)(-2x-5)=

Simple and best practice solution for (3x+6)(-2x-5)= 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 (3x+6)(-2x-5)= equation: 


Simplifying
(3x + 6)(-2x + -5) = 0

Reorder the terms:
(6 + 3x)(-2x + -5) = 0

Reorder the terms:
(6 + 3x)(-5 + -2x) = 0

Multiply (6 + 3x) * (-5 + -2x)
(6(-5 + -2x) + 3x * (-5 + -2x)) = 0
((-5 * 6 + -2x * 6) + 3x * (-5 + -2x)) = 0
((-30 + -12x) + 3x * (-5 + -2x)) = 0
(-30 + -12x + (-5 * 3x + -2x * 3x)) = 0
(-30 + -12x + (-15x + -6x2)) = 0

Combine like terms: -12x + -15x = -27x
(-30 + -27x + -6x2) = 0

Solving
-30 + -27x + -6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-3'.
-3(10 + 9x + 2x2) = 0

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

Ignore the factor -3.

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

Simplifying
5 + 2x = 0

Solving
5 + 2x = 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 + 2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 0 + -5
2x = 0 + -5

Combine like terms: 0 + -5 = -5
2x = -5

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5

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 = {-2.5, -2}

See similar equations:

| -18.4-15d+22d=4.4 | | P/-3=4.24 | | p-8/2=-7 | | ((2a-a)/(3-5))=(1a)/-2 | | 2a+3-8a=8-a | | X=33x | | S+5.7=18.59 | | {2a^2/3b}{6b^2/4a} | | 3x^2-8x-6=x^2-3x+2 | | X+(x+0.28)+(x+0.28+0.52)=10.97 | | 5(1+7u)= | | 6/x=9/2 | | Y=(x-3)(x-3)+11 | | 11x-65+29+29=180 | | U-15=3.79 | | -8n+6=142 | | (4b+1)(2)= | | -10(p-5)=10 | | -8n+6=143 | | 3n^2+3n+2=8 | | (4b+1)(2)=Submit | | 0.5(11+17)=x+22 | | -x-0.08=-1.2 | | 56x+132=x | | 0.5(11+17)=-x+22 | | (3x-4)(x+3)-12=0 | | -s-2/4=1 | | 3(2+6t)= | | s/4=3.78 | | -45p=-180 | | (z+1)(3)= | | 7x+x=20 |

Equations solver categories