10X^2+53X+36=0

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Solution for 10X^2+53X+36=0 equation: 


Simplifying
10X2 + 53X + 36 = 0

Reorder the terms:
36 + 53X + 10X2 = 0

Solving
36 + 53X + 10X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(9 + 2X)(4 + 5X) = 0


Subproblem 1
Set the factor '(9 + 2X)' equal to zero and attempt to solve:

Simplifying
9 + 2X = 0

Solving
9 + 2X = 0

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

Add '-9' to each side of the equation.
9 + -9 + 2X = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 2X = 0 + -9
2X = 0 + -9

Combine like terms: 0 + -9 = -9
2X = -9

Divide each side by '2'.
X = -4.5

Simplifying
X = -4.5

Subproblem 2
Set the factor '(4 + 5X)' equal to zero and attempt to solve:

Simplifying
4 + 5X = 0

Solving
4 + 5X = 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 + 5X = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 5X = 0 + -4
5X = 0 + -4

Combine like terms: 0 + -4 = -4
5X = -4

Divide each side by '5'.
X = -0.8

Simplifying
X = -0.8
Solution
X = {-4.5, -0.8}

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