(7a)(7a)-7a+5a-(5a)(5a)=

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Solution for (7a)(7a)-7a+5a-(5a)(5a)= equation: 


Simplifying
(7a)(7a) + -7a + 5a + -1(5a)(5a) = 0

Remove parenthesis around (7a)
7a(7a) + -7a + 5a + -1(5a)(5a) = 0

Remove parenthesis around (7a)
7a * 7a + -7a + 5a + -1(5a)(5a) = 0

Reorder the terms for easier multiplication:
7 * 7a * a + -7a + 5a + -1(5a)(5a) = 0

Multiply 7 * 7
49a * a + -7a + 5a + -1(5a)(5a) = 0

Multiply a * a
49a2 + -7a + 5a + -1(5a)(5a) = 0

Remove parenthesis around (5a)
49a2 + -7a + 5a + -1 * 5a(5a) = 0

Remove parenthesis around (5a)
49a2 + -7a + 5a + -1 * 5a * 5a = 0

Reorder the terms for easier multiplication:
49a2 + -7a + 5a + -1 * 5 * 5a * a = 0

Multiply -1 * 5
49a2 + -7a + 5a + -5 * 5a * a = 0

Multiply -5 * 5
49a2 + -7a + 5a + -25a * a = 0

Multiply a * a
49a2 + -7a + 5a + -25a2 = 0

Reorder the terms:
-7a + 5a + 49a2 + -25a2 = 0

Combine like terms: -7a + 5a = -2a
-2a + 49a2 + -25a2 = 0

Combine like terms: 49a2 + -25a2 = 24a2
-2a + 24a2 = 0

Solving
-2a + 24a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2a'.
2a(-1 + 12a) = 0

Ignore the factor 2.

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 '(-1 + 12a)' equal to zero and attempt to solve:

Simplifying
-1 + 12a = 0

Solving
-1 + 12a = 0

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

Add '1' to each side of the equation.
-1 + 1 + 12a = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 12a = 0 + 1
12a = 0 + 1

Combine like terms: 0 + 1 = 1
12a = 1

Divide each side by '12'.
a = 0.08333333333

Simplifying
a = 0.08333333333
Solution
a = {0, 0.08333333333}

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