(5x+2)(6x+7)=

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Solution for (5x+2)(6x+7)= equation: 


Simplifying
(5x + 2)(6x + 7) = 0

Reorder the terms:
(2 + 5x)(6x + 7) = 0

Reorder the terms:
(2 + 5x)(7 + 6x) = 0

Multiply (2 + 5x) * (7 + 6x)
(2(7 + 6x) + 5x * (7 + 6x)) = 0
((7 * 2 + 6x * 2) + 5x * (7 + 6x)) = 0
((14 + 12x) + 5x * (7 + 6x)) = 0
(14 + 12x + (7 * 5x + 6x * 5x)) = 0
(14 + 12x + (35x + 30x2)) = 0

Combine like terms: 12x + 35x = 47x
(14 + 47x + 30x2) = 0

Solving
14 + 47x + 30x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7 + 6x)(2 + 5x) = 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 '(2 + 5x)' equal to zero and attempt to solve:

Simplifying
2 + 5x = 0

Solving
2 + 5x = 0

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

Add '-2' to each side of the equation.
2 + -2 + 5x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 5x = 0 + -2
5x = 0 + -2

Combine like terms: 0 + -2 = -2
5x = -2

Divide each side by '5'.
x = -0.4

Simplifying
x = -0.4
Solution
x = {-1.166666667, -0.4}

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