(4x-14)(3x+12)=

Simple and best practice solution for (4x-14)(3x+12)= 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 (4x-14)(3x+12)= equation: 


Simplifying
(4x + -14)(3x + 12) = 0

Reorder the terms:
(-14 + 4x)(3x + 12) = 0

Reorder the terms:
(-14 + 4x)(12 + 3x) = 0

Multiply (-14 + 4x) * (12 + 3x)
(-14(12 + 3x) + 4x * (12 + 3x)) = 0
((12 * -14 + 3x * -14) + 4x * (12 + 3x)) = 0
((-168 + -42x) + 4x * (12 + 3x)) = 0
(-168 + -42x + (12 * 4x + 3x * 4x)) = 0
(-168 + -42x + (48x + 12x2)) = 0

Combine like terms: -42x + 48x = 6x
(-168 + 6x + 12x2) = 0

Solving
-168 + 6x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-28 + x + 2x2) = 0

Factor a trinomial.
6((-4 + -1x)(7 + -2x)) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve:

Simplifying
-4 + -1x = 0

Solving
-4 + -1x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 0 + 4
-1x = 0 + 4

Combine like terms: 0 + 4 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

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

Simplifying
7 + -2x = 0

Solving
7 + -2x = 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 + -2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2x = 0 + -7
-2x = 0 + -7

Combine like terms: 0 + -7 = -7
-2x = -7

Divide each side by '-2'.
x = 3.5

Simplifying
x = 3.5
Solution
x = {-4, 3.5}

See similar equations:

| 1x=25*12 | | 42-6x+x=17 | | 3m-9m=3 | | 8p+10p+4p+19p= | | 3X^2-45=0 | | 3x+5=29 | | 6x+11x=1+11 | | -7(w-2)=5(3-w) | | x^2-3x-4=0 | | Y=X^2+2X-5 | | 2x-5=x-10 | | (6+x)(3x+11)= | | 6x+3=2x+39 | | X^2-5X=0 | | 5y+3=4y+11 | | x+(x*0.34)=12 | | P^2-18P+81=0 | | x+(x*y)=10 | | p^2-14p+49=0 | | 3p+5=p+1 | | 8+10x=35+x | | 3X^2=75 | | 2x-1=11x-64 | | 5x+37=14x-44 | | 3x+80=9x+14 | | x^2+4x+6=0 | | 4W^2+12W+9=121 | | 2z+4=5z-8 | | 12x+6=7x+21 | | 4(y-7)=2y-38 | | C(q)=25+3q+2q^2 | | 2(5x+3)+22=25x-2 |

Equations solver categories