7a^2-30a+8=8

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Solution for 7a^2-30a+8=8 equation: 


Simplifying
7a2 + -30a + 8 = 8

Reorder the terms:
8 + -30a + 7a2 = 8

Add '-8' to each side of the equation.
8 + -30a + -8 + 7a2 = 8 + -8

Reorder the terms:
8 + -8 + -30a + 7a2 = 8 + -8

Combine like terms: 8 + -8 = 0
0 + -30a + 7a2 = 8 + -8
-30a + 7a2 = 8 + -8

Combine like terms: 8 + -8 = 0
-30a + 7a2 = 0

Solving
-30a + 7a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(-30 + 7a) = 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 '(-30 + 7a)' equal to zero and attempt to solve:

Simplifying
-30 + 7a = 0

Solving
-30 + 7a = 0

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

Add '30' to each side of the equation.
-30 + 30 + 7a = 0 + 30

Combine like terms: -30 + 30 = 0
0 + 7a = 0 + 30
7a = 0 + 30

Combine like terms: 0 + 30 = 30
7a = 30

Divide each side by '7'.
a = 4.285714286

Simplifying
a = 4.285714286
Solution
a = {0, 4.285714286}

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