(6x-5)(7x-8)=

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Solution for (6x-5)(7x-8)= equation: 


Simplifying
(6x + -5)(7x + -8) = 0

Reorder the terms:
(-5 + 6x)(7x + -8) = 0

Reorder the terms:
(-5 + 6x)(-8 + 7x) = 0

Multiply (-5 + 6x) * (-8 + 7x)
(-5(-8 + 7x) + 6x * (-8 + 7x)) = 0
((-8 * -5 + 7x * -5) + 6x * (-8 + 7x)) = 0
((40 + -35x) + 6x * (-8 + 7x)) = 0
(40 + -35x + (-8 * 6x + 7x * 6x)) = 0
(40 + -35x + (-48x + 42x2)) = 0

Combine like terms: -35x + -48x = -83x
(40 + -83x + 42x2) = 0

Solving
40 + -83x + 42x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5 + -6x)(8 + -7x) = 0


Subproblem 1
Set the factor '(5 + -6x)' equal to zero and attempt to solve:

Simplifying
5 + -6x = 0

Solving
5 + -6x = 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 + -6x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -6x = 0 + -5
-6x = 0 + -5

Combine like terms: 0 + -5 = -5
-6x = -5

Divide each side by '-6'.
x = 0.8333333333

Simplifying
x = 0.8333333333

Subproblem 2
Set the factor '(8 + -7x)' equal to zero and attempt to solve:

Simplifying
8 + -7x = 0

Solving
8 + -7x = 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 + -7x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -7x = 0 + -8
-7x = 0 + -8

Combine like terms: 0 + -8 = -8
-7x = -8

Divide each side by '-7'.
x = 1.142857143

Simplifying
x = 1.142857143
Solution
x = {0.8333333333, 1.142857143}

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