5x^2+24x+27=(5x+9)

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Solution for 5x^2+24x+27=(5x+9) equation: 


Simplifying
5x2 + 24x + 27 = (5x + 9)

Reorder the terms:
27 + 24x + 5x2 = (5x + 9)

Reorder the terms:
27 + 24x + 5x2 = (9 + 5x)

Remove parenthesis around (9 + 5x)
27 + 24x + 5x2 = 9 + 5x

Solving
27 + 24x + 5x2 = 9 + 5x

Solving for variable 'x'.

Reorder the terms:
27 + -9 + 24x + -5x + 5x2 = 9 + 5x + -9 + -5x

Combine like terms: 27 + -9 = 18
18 + 24x + -5x + 5x2 = 9 + 5x + -9 + -5x

Combine like terms: 24x + -5x = 19x
18 + 19x + 5x2 = 9 + 5x + -9 + -5x

Reorder the terms:
18 + 19x + 5x2 = 9 + -9 + 5x + -5x

Combine like terms: 9 + -9 = 0
18 + 19x + 5x2 = 0 + 5x + -5x
18 + 19x + 5x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
18 + 19x + 5x2 = 0

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


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

Simplifying
2 + x = 0

Solving
2 + x = 0

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

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

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Simplifying
x = -2

Subproblem 2
Set the factor '(9 + 5x)' equal to zero and attempt to solve:

Simplifying
9 + 5x = 0

Solving
9 + 5x = 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 + 5x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 5x = 0 + -9
5x = 0 + -9

Combine like terms: 0 + -9 = -9
5x = -9

Divide each side by '5'.
x = -1.8

Simplifying
x = -1.8
Solution
x = {-2, -1.8}

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