15x^2+253x+380=0

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Solution for 15x^2+253x+380=0 equation: 


Simplifying
15x2 + 253x + 380 = 0

Reorder the terms:
380 + 253x + 15x2 = 0

Solving
380 + 253x + 15x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(76 + 5x)(5 + 3x) = 0


Subproblem 1
Set the factor '(76 + 5x)' equal to zero and attempt to solve:

Simplifying
76 + 5x = 0

Solving
76 + 5x = 0

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

Add '-76' to each side of the equation.
76 + -76 + 5x = 0 + -76

Combine like terms: 76 + -76 = 0
0 + 5x = 0 + -76
5x = 0 + -76

Combine like terms: 0 + -76 = -76
5x = -76

Divide each side by '5'.
x = -15.2

Simplifying
x = -15.2

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

Simplifying
5 + 3x = 0

Solving
5 + 3x = 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 + 3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3x = 0 + -5
3x = 0 + -5

Combine like terms: 0 + -5 = -5
3x = -5

Divide each side by '3'.
x = -1.666666667

Simplifying
x = -1.666666667
Solution
x = {-15.2, -1.666666667}

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