(6x+1)(6x-7)=

Simple and best practice solution for (6x+1)(6x-7)= 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+1)(6x-7)= equation: 


Simplifying
(6x + 1)(6x + -7) = 0

Reorder the terms:
(1 + 6x)(6x + -7) = 0

Reorder the terms:
(1 + 6x)(-7 + 6x) = 0

Multiply (1 + 6x) * (-7 + 6x)
(1(-7 + 6x) + 6x * (-7 + 6x)) = 0
((-7 * 1 + 6x * 1) + 6x * (-7 + 6x)) = 0
((-7 + 6x) + 6x * (-7 + 6x)) = 0
(-7 + 6x + (-7 * 6x + 6x * 6x)) = 0
(-7 + 6x + (-42x + 36x2)) = 0

Combine like terms: 6x + -42x = -36x
(-7 + -36x + 36x2) = 0

Solving
-7 + -36x + 36x2 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(-1 + -6x)' equal to zero and attempt to solve:

Simplifying
-1 + -6x = 0

Solving
-1 + -6x = 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 + -6x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -6x = 0 + 1
-6x = 0 + 1

Combine like terms: 0 + 1 = 1
-6x = 1

Divide each side by '-6'.
x = -0.1666666667

Simplifying
x = -0.1666666667

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 = {-0.1666666667, 1.166666667}

See similar equations:

| 3*x^2+2*x+7=0 | | 3*x^2+6*x+7=0 | | 29r+9=28+13r | | T+(-101)=263 | | 102.8=g-(-66.09) | | X-(-83)=121 | | x^3-4x^2-31x+70=0 | | 2(3x-5)=16 | | -14=-406 | | e^7x=15 | | -11.2x=-60.48 | | -4=4-6x | | m-18=-3 | | 33=11m | | 5k-2=-92 | | 45.5=-14c | | -6+8a=-54 | | -5.6=-0.8 | | -10r=10 | | -6-5p=-2 | | -9.5x+16.4=(-8.7x)+18.6 | | y*.40=1240 | | -9.5x+16.4=(-8.7x) | | 3100*.40=y | | 3100*40=y | | -2=10+n | | 3100*40y=1900 | | 25436246x=56736-32 | | -18=-6k | | -5=0.25(4-20r)-8r | | 96=6n | | 2x(2x-7)(5x+2)=0 |

Equations solver categories