-10x^2-7x-6=-5

Solution for -10x^2-7x-6=-5 equation:

Simplifying
-10x2 + -7x + -6 = -5

Reorder the terms:
-6 + -7x + -10x2 = -5

Solving
-6 + -7x + -10x2 = -5

Solving for variable 'x'.

Reorder the terms:
-6 + 5 + -7x + -10x2 = -5 + 5

Combine like terms: -6 + 5 = -1
-1 + -7x + -10x2 = -5 + 5

Combine like terms: -5 + 5 = 0
-1 + -7x + -10x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(1 + 7x + 10x2) = 0

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

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

Simplifying
1 + 2x = 0

Solving
1 + 2x = 0

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

Add '-1' to each side of the equation.
1 + -1 + 2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 0 + -1
2x = 0 + -1

Combine like terms: 0 + -1 = -1
2x = -1

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5
Subproblem 2
Set the factor '(1 + 5x)' equal to zero and attempt to solve:

Simplifying
1 + 5x = 0

Solving
1 + 5x = 0

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

Add '-1' to each side of the equation.
1 + -1 + 5x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 5x = 0 + -1
5x = 0 + -1

Combine like terms: 0 + -1 = -1
5x = -1

Divide each side by '5'.
x = -0.2

Simplifying
x = -0.2
Solution
x = {-0.5, -0.2}