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

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


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

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

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

Multiply (-7 + 7x) * (7 + 6x)
(-7(7 + 6x) + 7x * (7 + 6x)) = 0
((7 * -7 + 6x * -7) + 7x * (7 + 6x)) = 0
((-49 + -42x) + 7x * (7 + 6x)) = 0
(-49 + -42x + (7 * 7x + 6x * 7x)) = 0
(-49 + -42x + (49x + 42x2)) = 0

Combine like terms: -42x + 49x = 7x
(-49 + 7x + 42x2) = 0

Solving
-49 + 7x + 42x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7'.
7(-7 + x + 6x2) = 0

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

Ignore the factor 7.

Subproblem 1
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

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

Simplifying
1 + -1x = 0

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

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

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

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

Simplifying
x = 1
Solution
x = {-1.166666667, 1}

See similar equations:

| 14x+3=59 | | Y=(1)(2)x+3 | | 6x-5=5x+1 | | -17-(x)=6 | | -5a+3+6a=13-30 | | 8-6=42 | | 3x-5(7-21)=11-3x | | 6x+4x+3y+8= | | (7/5)n+(3/5)=-n | | 9x-3=39 | | 9x-3=100 | | lnx-ln(x+2)=5 | | 8a-72=0 | | 3p^2-20p+12=0 | | (3(w+2))/4=2w+3 | | lnx-ln(x+2)=4 | | (4x+3)(x+4)=(3x+4)(x+7) | | 8x+2(3-x)=7x | | 3x-1=x+10 | | 18n^2+30n-48=0 | | 16x^2-25y^4=0 | | (x+1)(x-5)=(x+5)(x-4) | | (x-1)(x-5)=(x+5)(x-4) | | 20x^2-68x-160=0 | | 4x^2-32x=-28 | | 2x-3x-7=5 | | 2/3x+9=13 | | 4g=10 | | 4(7-3)=7(x+3) | | x/2-2/3=1/4 | | (r+2)(r-6)=0 | | x^2(5x-4)=0 |

Equations solver categories