(6X+7)(5X+8)=

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Solution for (6X+7)(5X+8)= equation: 


Simplifying
(6X + 7)(5X + 8) = 0

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

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

Multiply (7 + 6X) * (8 + 5X)
(7(8 + 5X) + 6X * (8 + 5X)) = 0
((8 * 7 + 5X * 7) + 6X * (8 + 5X)) = 0
((56 + 35X) + 6X * (8 + 5X)) = 0
(56 + 35X + (8 * 6X + 5X * 6X)) = 0
(56 + 35X + (48X + 30X2)) = 0

Combine like terms: 35X + 48X = 83X
(56 + 83X + 30X2) = 0

Solving
56 + 83X + 30X2 = 0

Solving for variable 'X'.

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


Subproblem 1
Set the factor '(8 + 5X)' equal to zero and attempt to solve:

Simplifying
8 + 5X = 0

Solving
8 + 5X = 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 + 5X = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 5X = 0 + -8
5X = 0 + -8

Combine like terms: 0 + -8 = -8
5X = -8

Divide each side by '5'.
X = -1.6

Simplifying
X = -1.6

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 = {-1.6, -1.166666667}

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