(4x+5)(6x+7)=

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Solution for (4x+5)(6x+7)= equation: 


Simplifying
(4x + 5)(6x + 7) = 0

Reorder the terms:
(5 + 4x)(6x + 7) = 0

Reorder the terms:
(5 + 4x)(7 + 6x) = 0

Multiply (5 + 4x) * (7 + 6x)
(5(7 + 6x) + 4x * (7 + 6x)) = 0
((7 * 5 + 6x * 5) + 4x * (7 + 6x)) = 0
((35 + 30x) + 4x * (7 + 6x)) = 0
(35 + 30x + (7 * 4x + 6x * 4x)) = 0
(35 + 30x + (28x + 24x2)) = 0

Combine like terms: 30x + 28x = 58x
(35 + 58x + 24x2) = 0

Solving
35 + 58x + 24x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5 + 4x)(7 + 6x) = 0


Subproblem 1
Set the factor '(5 + 4x)' equal to zero and attempt to solve:

Simplifying
5 + 4x = 0

Solving
5 + 4x = 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 + 4x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 4x = 0 + -5
4x = 0 + -5

Combine like terms: 0 + -5 = -5
4x = -5

Divide each side by '4'.
x = -1.25

Simplifying
x = -1.25

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 = {-1.25, -1.166666667}

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