7a^2+49a+7=7

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Solution for 7a^2+49a+7=7 equation: 


Simplifying
7a2 + 49a + 7 = 7

Reorder the terms:
7 + 49a + 7a2 = 7

Add '-7' to each side of the equation.
7 + 49a + -7 + 7a2 = 7 + -7

Reorder the terms:
7 + -7 + 49a + 7a2 = 7 + -7

Combine like terms: 7 + -7 = 0
0 + 49a + 7a2 = 7 + -7
49a + 7a2 = 7 + -7

Combine like terms: 7 + -7 = 0
49a + 7a2 = 0

Solving
49a + 7a2 = 0

Solving for variable 'a'.

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

Ignore the factor 7.

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 + a)' equal to zero and attempt to solve:

Simplifying
7 + a = 0

Solving
7 + a = 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 + a = 0 + -7

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

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

Simplifying
a = -7
Solution
a = {0, -7}

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