10x^2+65x+73=-2

Solution for 10x^2+65x+73=-2 equation:

Simplifying
10x2 + 65x + 73 = -2

Reorder the terms:
73 + 65x + 10x2 = -2

Solving
73 + 65x + 10x2 = -2

Solving for variable 'x'.

Reorder the terms:
73 + 2 + 65x + 10x2 = -2 + 2

Combine like terms: 73 + 2 = 75
75 + 65x + 10x2 = -2 + 2

Combine like terms: -2 + 2 = 0
75 + 65x + 10x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(15 + 13x + 2x2) = 0

Factor a trinomial.
5((5 + x)(3 + 2x)) = 0

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

Simplifying
5 + x = 0

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

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

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

Simplifying
x = -5
Subproblem 2
Set the factor '(3 + 2x)' equal to zero and attempt to solve:

Simplifying
3 + 2x = 0

Solving
3 + 2x = 0

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

Add '-3' to each side of the equation.
3 + -3 + 2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = 0 + -3
2x = 0 + -3

Combine like terms: 0 + -3 = -3
2x = -3

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5
Solution
x = {-5, -1.5}