6x^2+17x+72.25=-5+72.25

Solution for 6x^2+17x+72.25=-5+72.25 equation:

Simplifying
6x2 + 17x + 72.25 = -5 + 72.25

Reorder the terms:
72.25 + 17x + 6x2 = -5 + 72.25

Combine like terms: -5 + 72.25 = 67.25
72.25 + 17x + 6x2 = 67.25

Solving
72.25 + 17x + 6x2 = 67.25

Solving for variable 'x'.

Reorder the terms:
72.25 + -67.25 + 17x + 6x2 = 67.25 + -67.25

Combine like terms: 72.25 + -67.25 = 5
5 + 17x + 6x2 = 67.25 + -67.25

Combine like terms: 67.25 + -67.25 = 0.00
5 + 17x + 6x2 = 0.00

Factor a trinomial.
(5 + 2x)(1 + 3x) = 0.00

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

Simplifying
5 + 2x = 0

Solving
5 + 2x = 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 + 2x = 0 + -5

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

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

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5
Subproblem 2
Set the factor '(1 + 3x)' equal to zero and attempt to solve:

Simplifying
1 + 3x = 0

Solving
1 + 3x = 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 + 3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3x = 0 + -1
3x = 0 + -1

Combine like terms: 0 + -1 = -1
3x = -1

Divide each side by '3'.
x = -0.3333333333

Simplifying
x = -0.3333333333
Solution
x = {-2.5, -0.3333333333}