(6x-3)(-13-14x)=

Simple and best practice solution for (6x-3)(-13-14x)= 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 (6x-3)(-13-14x)= equation:


Simplifying
(6x + -3)(-13 + -14x) = 0

Reorder the terms:
(-3 + 6x)(-13 + -14x) = 0

Multiply (-3 + 6x) * (-13 + -14x)
(-3(-13 + -14x) + 6x * (-13 + -14x)) = 0
((-13 * -3 + -14x * -3) + 6x * (-13 + -14x)) = 0
((39 + 42x) + 6x * (-13 + -14x)) = 0
(39 + 42x + (-13 * 6x + -14x * 6x)) = 0
(39 + 42x + (-78x + -84x2)) = 0

Combine like terms: 42x + -78x = -36x
(39 + -36x + -84x2) = 0

Solving
39 + -36x + -84x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(13 + -12x + -28x2) = 0

Factor a trinomial.
3((1 + -2x)(13 + 14x)) = 0

Ignore the factor 3.

Subproblem 1
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

Subproblem 2
Set the factor '(13 + 14x)' equal to zero and attempt to solve:

Simplifying
13 + 14x = 0

Solving
13 + 14x = 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 + 14x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 14x = 0 + -13
14x = 0 + -13

Combine like terms: 0 + -13 = -13
14x = -13

Divide each side by '14'.
x = -0.9285714286

Simplifying
x = -0.9285714286
Solution
x = {0.5, -0.9285714286}

See similar equations:

| (-x+12)(3+7x)= | | v(x)=(11-2x)(8.5-2x)(2x) | | (x-7)(-4-12x)= | | x+9+18=0 | | (3x-7)(-10-11x)= | | 14x+10y+18=0 | | (-10x+7)(9-7x)= | | (3x-5)(-9+4x)= | | y=4x^2-6 | | (-6x+3)(-5-4x)= | | 3-n=n+3 | | 3n+7=1 | | =(-6x+3)(-5-4x) | | 2n-1=3 | | 5-2n=n+4 | | 35=5v-15 | | 9=-7v+3(v+7) | | 3q=0 | | 3a=9-3a | | 2w+2(2w+9)=34 | | W^2+8w+12= | | 0.67+0.43t=1.61t-1.10 | | 4d-6=18 | | -3/7=-9/t | | 2(x-3)+4-3x=4(x+1) | | 3+X-1=4-4x-3 | | 3b^3-45b^2+225b+375=0 | | 2p-7=-21 | | 4ax-5a^2x-8ax^2+3ax+7a^2x+6ax^2= | | -x^2+948x-2500=0 | | 5(4-x)=3(5x-10) | | x-x*20=100 |

Equations solver categories