5a^2+12a+7=(5a+7)

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Solution for 5a^2+12a+7=(5a+7) equation: 


Simplifying
5a2 + 12a + 7 = (5a + 7)

Reorder the terms:
7 + 12a + 5a2 = (5a + 7)

Reorder the terms:
7 + 12a + 5a2 = (7 + 5a)

Remove parenthesis around (7 + 5a)
7 + 12a + 5a2 = 7 + 5a

Add '-7' to each side of the equation.
7 + 12a + -7 + 5a2 = 7 + -7 + 5a

Reorder the terms:
7 + -7 + 12a + 5a2 = 7 + -7 + 5a

Combine like terms: 7 + -7 = 0
0 + 12a + 5a2 = 7 + -7 + 5a
12a + 5a2 = 7 + -7 + 5a

Combine like terms: 7 + -7 = 0
12a + 5a2 = 0 + 5a
12a + 5a2 = 5a

Solving
12a + 5a2 = 5a

Solving for variable 'a'.

Reorder the terms:
12a + -5a + 5a2 = 5a + -5a

Combine like terms: 12a + -5a = 7a
7a + 5a2 = 5a + -5a

Combine like terms: 5a + -5a = 0
7a + 5a2 = 0

Factor out the Greatest Common Factor (GCF), 'a'.
a(7 + 5a) = 0


Subproblem 1
Set the factor 'a' equal to zero and attempt to solve:

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0

Subproblem 2
Set the factor '(7 + 5a)' equal to zero and attempt to solve:

Simplifying
7 + 5a = 0

Solving
7 + 5a = 0

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

Add '-7' to each side of the equation.
7 + -7 + 5a = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 5a = 0 + -7
5a = 0 + -7

Combine like terms: 0 + -7 = -7
5a = -7

Divide each side by '5'.
a = -1.4

Simplifying
a = -1.4
Solution
a = {0, -1.4}

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