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

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


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

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

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

Multiply (6 + 5x) * (7 + 5x)
(6(7 + 5x) + 5x * (7 + 5x)) = 0
((7 * 6 + 5x * 6) + 5x * (7 + 5x)) = 0
((42 + 30x) + 5x * (7 + 5x)) = 0
(42 + 30x + (7 * 5x + 5x * 5x)) = 0
(42 + 30x + (35x + 25x2)) = 0

Combine like terms: 30x + 35x = 65x
(42 + 65x + 25x2) = 0

Solving
42 + 65x + 25x2 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(7 + 5x)' equal to zero and attempt to solve:

Simplifying
7 + 5x = 0

Solving
7 + 5x = 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 + 5x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 5x = 0 + -7
5x = 0 + -7

Combine like terms: 0 + -7 = -7
5x = -7

Divide each side by '5'.
x = -1.4

Simplifying
x = -1.4

Subproblem 2
Set the factor '(6 + 5x)' equal to zero and attempt to solve:

Simplifying
6 + 5x = 0

Solving
6 + 5x = 0

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

Add '-6' to each side of the equation.
6 + -6 + 5x = 0 + -6

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

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

Divide each side by '5'.
x = -1.2

Simplifying
x = -1.2
Solution
x = {-1.4, -1.2}

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