(6x-7)(x+2)=0

Simple and best practice solution for (6x-7)(x+2)=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 (6x-7)(x+2)=0 equation: 


Simplifying
(6x + -7)(x + 2) = 0

Reorder the terms:
(-7 + 6x)(x + 2) = 0

Reorder the terms:
(-7 + 6x)(2 + x) = 0

Multiply (-7 + 6x) * (2 + x)
(-7(2 + x) + 6x * (2 + x)) = 0
((2 * -7 + x * -7) + 6x * (2 + x)) = 0
((-14 + -7x) + 6x * (2 + x)) = 0
(-14 + -7x + (2 * 6x + x * 6x)) = 0
(-14 + -7x + (12x + 6x2)) = 0

Combine like terms: -7x + 12x = 5x
(-14 + 5x + 6x2) = 0

Solving
-14 + 5x + 6x2 = 0

Solving for variable 'x'.

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


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

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

Subproblem 2
Set the factor '(7 + -6x)' equal to zero and attempt to solve:

Simplifying
7 + -6x = 0

Solving
7 + -6x = 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 + -6x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -6x = 0 + -7
-6x = 0 + -7

Combine like terms: 0 + -7 = -7
-6x = -7

Divide each side by '-6'.
x = 1.166666667

Simplifying
x = 1.166666667
Solution
x = {-2, 1.166666667}

See similar equations:

| y=215+.75(y-20) | | -1x-12=-96 | | (x+2)(x+13)=0 | | (x-3)x^2= | | 7x/100=21 | | 8x+24x=15x-46 | | 7x/100=211 | | (5x^2)(4x^2)= | | .666c+6=18 | | 31=22-2c | | (5a^3+1)(5a^3-1)= | | 11x+4=3(1+2x)+1 | | 22=2u+10 | | x^2-3x+2xy-6y=0 | | 3z+4=-4 | | 5m-55-21m+6=15 | | -.4c=40 | | -.4=40 | | ln(x-6)-ln(x+2)=ln(x-4)-ln(x+10) | | 16x-(3x-(6-9x))=30x+(-(3x+2)-(x+3)) | | x-50=7/4z=z=100 | | n^2-4n+4=2 | | x^3-8x^2-64x+512=0 | | 8x+3y+67=d*8.4 | | m^9-27n^6=0 | | 2x+y+159+x+y=180 | | 10x+5=6x+13 | | 3e^7x=4e^8x | | 4log*3-3n=-8 | | .5c=-50 | | 1+3x=-5+x | | -4x^3y+12x^2y^2=0 |

Equations solver categories