45x^2+57x+1=5

Solution for 45x^2+57x+1=5 equation:

Simplifying
45x2 + 57x + 1 = 5

Reorder the terms:
1 + 57x + 45x2 = 5

Solving
1 + 57x + 45x2 = 5

Solving for variable 'x'.

Reorder the terms:
1 + -5 + 57x + 45x2 = 5 + -5

Combine like terms: 1 + -5 = -4
-4 + 57x + 45x2 = 5 + -5

Combine like terms: 5 + -5 = 0
-4 + 57x + 45x2 = 0

Factor a trinomial.
(-4 + -3x)(1 + -15x) = 0

Subproblem 1
Set the factor '(-4 + -3x)' equal to zero and attempt to solve:

Simplifying
-4 + -3x = 0

Solving
-4 + -3x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -3x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -3x = 0 + 4
-3x = 0 + 4

Combine like terms: 0 + 4 = 4
-3x = 4

Divide each side by '-3'.
x = -1.333333333

Simplifying
x = -1.333333333
Subproblem 2
Set the factor '(1 + -15x)' equal to zero and attempt to solve:

Simplifying
1 + -15x = 0

Solving
1 + -15x = 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 + -15x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -15x = 0 + -1
-15x = 0 + -1

Combine like terms: 0 + -1 = -1
-15x = -1

Divide each side by '-15'.
x = 0.06666666667

Simplifying
x = 0.06666666667
Solution
x = {-1.333333333, 0.06666666667}