5x^2+47x+84=0

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Solution for 5x^2+47x+84=0 equation: 


Simplifying
5x2 + 47x + 84 = 0

Reorder the terms:
84 + 47x + 5x2 = 0

Solving
84 + 47x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7 + x)(12 + 5x) = 0


Subproblem 1
Set the factor '(7 + x)' equal to zero and attempt to solve:

Simplifying
7 + x = 0

Solving
7 + x = 0

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

Add '-7' to each side of the equation.
7 + -7 + x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + x = 0 + -7
x = 0 + -7

Combine like terms: 0 + -7 = -7
x = -7

Simplifying
x = -7

Subproblem 2
Set the factor '(12 + 5x)' equal to zero and attempt to solve:

Simplifying
12 + 5x = 0

Solving
12 + 5x = 0

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

Add '-12' to each side of the equation.
12 + -12 + 5x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 5x = 0 + -12
5x = 0 + -12

Combine like terms: 0 + -12 = -12
5x = -12

Divide each side by '5'.
x = -2.4

Simplifying
x = -2.4
Solution
x = {-7, -2.4}

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