3x^2+24x+53=5

Solution for 3x^2+24x+53=5 equation:

Simplifying
3x2 + 24x + 53 = 5

Reorder the terms:
53 + 24x + 3x2 = 5

Solving
53 + 24x + 3x2 = 5

Solving for variable 'x'.

Reorder the terms:
53 + -5 + 24x + 3x2 = 5 + -5

Combine like terms: 53 + -5 = 48
48 + 24x + 3x2 = 5 + -5

Combine like terms: 5 + -5 = 0
48 + 24x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(16 + 8x + x2) = 0

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

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

Simplifying
4 + x = 0

Solving
4 + x = 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 + x = 0 + -4

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

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

Simplifying
x = -4
Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 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 + x = 0 + -4

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

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

Simplifying
x = -4
Solution
x = {-4, -4}