(3x+7)(x-6)=6x+14

Simple and best practice solution for (3x+7)(x-6)=6x+14 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)(x-6)=6x+14 equation: 


Simplifying
(3x + 7)(x + -6) = 6x + 14

Reorder the terms:
(7 + 3x)(x + -6) = 6x + 14

Reorder the terms:
(7 + 3x)(-6 + x) = 6x + 14

Multiply (7 + 3x) * (-6 + x)
(7(-6 + x) + 3x * (-6 + x)) = 6x + 14
((-6 * 7 + x * 7) + 3x * (-6 + x)) = 6x + 14
((-42 + 7x) + 3x * (-6 + x)) = 6x + 14
(-42 + 7x + (-6 * 3x + x * 3x)) = 6x + 14
(-42 + 7x + (-18x + 3x2)) = 6x + 14

Combine like terms: 7x + -18x = -11x
(-42 + -11x + 3x2) = 6x + 14

Reorder the terms:
-42 + -11x + 3x2 = 14 + 6x

Solving
-42 + -11x + 3x2 = 14 + 6x

Solving for variable 'x'.

Reorder the terms:
-42 + -14 + -11x + -6x + 3x2 = 14 + 6x + -14 + -6x

Combine like terms: -42 + -14 = -56
-56 + -11x + -6x + 3x2 = 14 + 6x + -14 + -6x

Combine like terms: -11x + -6x = -17x
-56 + -17x + 3x2 = 14 + 6x + -14 + -6x

Reorder the terms:
-56 + -17x + 3x2 = 14 + -14 + 6x + -6x

Combine like terms: 14 + -14 = 0
-56 + -17x + 3x2 = 0 + 6x + -6x
-56 + -17x + 3x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
-56 + -17x + 3x2 = 0

Factor a trinomial.
(-7 + -3x)(8 + -1x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {-2.333333333, 8}

See similar equations:

| 4x+1=x+12 | | m/3-m=6 | | -2(-1+2x)=-22 | | -3/5x+18=3x | | a+4a+4= | | 3t+9-6= | | 5+566= | | 3t=9-6 | | 6(3-4x)=-222 | | -36=x^2+7x | | 4-2y=3y+3y-9-7 | | 4(3-4x)=-56 | | 49m^3-m=0 | | 22/3-(9-32/3)=82/3-11 | | 84.245x=537 | | 64=6x+2x+8 | | x+y+8=0 | | -8/3w=7 | | -x^2-7x-36=0 | | 6x+2-7x=3 | | -6/x+3=7 | | 3/4/2/3 | | 5/6=x+1/9 | | 3/4/2/3-3/4 | | 4-4x=-16 | | -7(2+x)=-42 | | 4(-2+5x)=32 | | 4+5x-3x=24 | | T+5=75-6t | | y-1/20=13/20 | | 53/4-15/4 | | 4(-8n-3)+4n=-6(5n-3) |

Equations solver categories