(6x-7)(x-5)=0

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Solution for (6x-7)(x-5)=0 equation: 


Simplifying
(6x + -7)(x + -5) = 0

Reorder the terms:
(-7 + 6x)(x + -5) = 0

Reorder the terms:
(-7 + 6x)(-5 + x) = 0

Multiply (-7 + 6x) * (-5 + x)
(-7(-5 + x) + 6x * (-5 + x)) = 0
((-5 * -7 + x * -7) + 6x * (-5 + x)) = 0
((35 + -7x) + 6x * (-5 + x)) = 0
(35 + -7x + (-5 * 6x + x * 6x)) = 0
(35 + -7x + (-30x + 6x2)) = 0

Combine like terms: -7x + -30x = -37x
(35 + -37x + 6x2) = 0

Solving
35 + -37x + 6x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7 + -6x)(5 + -1x) = 0


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 '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {1.166666667, 5}

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