(3x+7)(-2x-13)=0

Simple and best practice solution for (3x+7)(-2x-13)=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 (3x+7)(-2x-13)=0 equation: 


Simplifying
(3x + 7)(-2x + -13) = 0

Reorder the terms:
(7 + 3x)(-2x + -13) = 0

Reorder the terms:
(7 + 3x)(-13 + -2x) = 0

Multiply (7 + 3x) * (-13 + -2x)
(7(-13 + -2x) + 3x * (-13 + -2x)) = 0
((-13 * 7 + -2x * 7) + 3x * (-13 + -2x)) = 0
((-91 + -14x) + 3x * (-13 + -2x)) = 0
(-91 + -14x + (-13 * 3x + -2x * 3x)) = 0
(-91 + -14x + (-39x + -6x2)) = 0

Combine like terms: -14x + -39x = -53x
(-91 + -53x + -6x2) = 0

Solving
-91 + -53x + -6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(91 + 53x + 6x2) = 0

Factor a trinomial.
-1((13 + 2x)(7 + 3x)) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(13 + 2x)' equal to zero and attempt to solve:

Simplifying
13 + 2x = 0

Solving
13 + 2x = 0

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

Add '-13' to each side of the equation.
13 + -13 + 2x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 2x = 0 + -13
2x = 0 + -13

Combine like terms: 0 + -13 = -13
2x = -13

Divide each side by '2'.
x = -6.5

Simplifying
x = -6.5

Subproblem 2
Set the factor '(7 + 3x)' equal to zero and attempt to solve:

Simplifying
7 + 3x = 0

Solving
7 + 3x = 0

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

Add '-7' to each side of the equation.
7 + -7 + 3x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 3x = 0 + -7
3x = 0 + -7

Combine like terms: 0 + -7 = -7
3x = -7

Divide each side by '3'.
x = -2.333333333

Simplifying
x = -2.333333333
Solution
x = {-6.5, -2.333333333}

See similar equations:

| (5x-3)-(1-4x)=9x-2 | | 2d+5=19 | | sin((3/5)+(5/13)) | | 8(-2n-6)=-16n+10 | | 3x+12=6x | | x-2/x+2=x+3 | | 100+20z+z^2=0 | | 2x^2+6x^2=40 | | 2x^2+x=-18 | | 118-5x=40x+23 | | 3x+96=15x | | (X-3)(x-3)+4=20 | | 0.25(x+20)-0.06(x-30)=-0.8 | | 10-8x=138-36x | | 29+2y-7=13y-14-5y | | n+16=24 | | -.3(7n-31.2)=.456 | | 4(6x-2)=2(0.6x+5) | | 4t+3+5t-8t=1+6 | | 7-(x+3)=6-2x | | (2/3)2/3(x+12)=24(3/2) | | 2x=-3tx | | (a-3)(a+1)=2 | | 7a(x+2y)-b(x+2y)= | | 2/3(x+12)=24(3/2) | | 7x^3-48x=0 | | 1+(6/(x-2))=24/(x^2-4) | | 32.5=3.14D | | 3/7(5p+3)=12 | | 3x^2-24x-1=0 | | 12x=3x+42+6x | | 7x^2-47x+14=0 |

Equations solver categories