5a^2+4a-9=(5a+9)

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Solution for 5a^2+4a-9=(5a+9) equation: 


Simplifying
5a2 + 4a + -9 = (5a + 9)

Reorder the terms:
-9 + 4a + 5a2 = (5a + 9)

Reorder the terms:
-9 + 4a + 5a2 = (9 + 5a)

Remove parenthesis around (9 + 5a)
-9 + 4a + 5a2 = 9 + 5a

Solving
-9 + 4a + 5a2 = 9 + 5a

Solving for variable 'a'.

Reorder the terms:
-9 + -9 + 4a + -5a + 5a2 = 9 + 5a + -9 + -5a

Combine like terms: -9 + -9 = -18
-18 + 4a + -5a + 5a2 = 9 + 5a + -9 + -5a

Combine like terms: 4a + -5a = -1a
-18 + -1a + 5a2 = 9 + 5a + -9 + -5a

Reorder the terms:
-18 + -1a + 5a2 = 9 + -9 + 5a + -5a

Combine like terms: 9 + -9 = 0
-18 + -1a + 5a2 = 0 + 5a + -5a
-18 + -1a + 5a2 = 5a + -5a

Combine like terms: 5a + -5a = 0
-18 + -1a + 5a2 = 0

Factor a trinomial.
(-9 + -5a)(2 + -1a) = 0


Subproblem 1
Set the factor '(-9 + -5a)' equal to zero and attempt to solve:

Simplifying
-9 + -5a = 0

Solving
-9 + -5a = 0

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

Add '9' to each side of the equation.
-9 + 9 + -5a = 0 + 9

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

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

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

Simplifying
a = -1.8

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

Simplifying
2 + -1a = 0

Solving
2 + -1a = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1a = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1a = 0 + -2
-1a = 0 + -2

Combine like terms: 0 + -2 = -2
-1a = -2

Divide each side by '-1'.
a = 2

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

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