(13x+9)(4x-12)=0

Simple and best practice solution for (13x+9)(4x-12)=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 (13x+9)(4x-12)=0 equation: 


Simplifying
(13x + 9)(4x + -12) = 0

Reorder the terms:
(9 + 13x)(4x + -12) = 0

Reorder the terms:
(9 + 13x)(-12 + 4x) = 0

Multiply (9 + 13x) * (-12 + 4x)
(9(-12 + 4x) + 13x * (-12 + 4x)) = 0
((-12 * 9 + 4x * 9) + 13x * (-12 + 4x)) = 0
((-108 + 36x) + 13x * (-12 + 4x)) = 0
(-108 + 36x + (-12 * 13x + 4x * 13x)) = 0
(-108 + 36x + (-156x + 52x2)) = 0

Combine like terms: 36x + -156x = -120x
(-108 + -120x + 52x2) = 0

Solving
-108 + -120x + 52x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-27 + -30x + 13x2) = 0

Factor a trinomial.
4((-9 + -13x)(3 + -1x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-9 + -13x)' equal to zero and attempt to solve:

Simplifying
-9 + -13x = 0

Solving
-9 + -13x = 0

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

Add '9' to each side of the equation.
-9 + 9 + -13x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -13x = 0 + 9
-13x = 0 + 9

Combine like terms: 0 + 9 = 9
-13x = 9

Divide each side by '-13'.
x = -0.6923076923

Simplifying
x = -0.6923076923

Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-0.6923076923, 3}

See similar equations:

| 6-8x=25-15 | | 3x-138=5x-10 | | 3f-9=12 | | b-9/3=12 | | 3x+8=62-7x | | 3x-13x^1/2+4=0 | | 18r-12r=192 | | 2*x*2+9*x+11=7 | | 85=72+t/3 | | 25=b/12+21 | | 2x^2/3-3x^1/3-2=0 | | 9+4=f+3 | | 81=6k+3k | | (8+m)(2+m)= | | 3x-4=6x+7 | | 5x+54=10+14 | | (5x-10)(3x+7)=0 | | 3x^2+6=2x^2+16 | | -20=9(4-6x)+(3-5x) | | 9a+4=2a+10 | | m^2+10m+16= | | m^2-64= | | x-2(x-1)=0,2(1-2x) | | 6f-8=40 | | 6p^2+24p+24= | | 2q=-9 | | 3x+66=7x-14 | | 2x^2+27x-40=0 | | 9a+9=72 | | 10000000x+4x= | | 5(2x+4)-3(x-2)=4(1-5x) | | 50x^2+60xy+18y^2= |

Equations solver categories