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

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

Simplifying
-1(2x + 7)(5x + 6) = 0

Reorder the terms:
-1(7 + 2x)(5x + 6) = 0

Reorder the terms:
-1(7 + 2x)(6 + 5x) = 0

Multiply (7 + 2x) * (6 + 5x)
-1(7(6 + 5x) + 2x * (6 + 5x)) = 0
-1((6 * 7 + 5x * 7) + 2x * (6 + 5x)) = 0
-1((42 + 35x) + 2x * (6 + 5x)) = 0
-1(42 + 35x + (6 * 2x + 5x * 2x)) = 0
-1(42 + 35x + (12x + 10x2)) = 0

Combine like terms: 35x + 12x = 47x
-1(42 + 47x + 10x2) = 0
(42 * -1 + 47x * -1 + 10x2 * -1) = 0
(-42 + -47x + -10x2) = 0

Solving
-42 + -47x + -10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(42 + 47x + 10x2) = 0

Factor a trinomial.
-1((7 + 2x)(6 + 5x)) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(7 + 2x)' equal to zero and attempt to solve:

Simplifying
7 + 2x = 0

Solving
7 + 2x = 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 + 2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2x = 0 + -7
2x = 0 + -7

Combine like terms: 0 + -7 = -7
2x = -7

Divide each side by '2'.
x = -3.5

Simplifying
x = -3.5
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 = {-3.5, -1.2}