6x^2+13x+42.25=42.25

Solution for 6x^2+13x+42.25=42.25 equation:

Simplifying
6x2 + 13x + 42.25 = 42.25

Reorder the terms:
42.25 + 13x + 6x2 = 42.25

Add '-42.25' to each side of the equation.
42.25 + 13x + -42.25 + 6x2 = 42.25 + -42.25

Reorder the terms:
42.25 + -42.25 + 13x + 6x2 = 42.25 + -42.25

Combine like terms: 42.25 + -42.25 = 0.00
0.00 + 13x + 6x2 = 42.25 + -42.25
13x + 6x2 = 42.25 + -42.25

Combine like terms: 42.25 + -42.25 = 0.00
13x + 6x2 = 0.00

Solving
13x + 6x2 = 0.00

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(13 + 6x) = 0.00

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(13 + 6x)' equal to zero and attempt to solve:

Simplifying
13 + 6x = 0

Solving
13 + 6x = 0

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

Add '-13' to each side of the equation.
13 + -13 + 6x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 6x = 0 + -13
6x = 0 + -13

Combine like terms: 0 + -13 = -13
6x = -13

Divide each side by '6'.
x = -2.166666667

Simplifying
x = -2.166666667
Solution
x = {0, -2.166666667}