100a^2-100a-4200=

Solution for 100a^2-100a-4200= equation:

Simplifying
100a2 + -100a + -4200 = 0

Reorder the terms:
-4200 + -100a + 100a2 = 0

Solving
-4200 + -100a + 100a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '100'.
100(-42 + -1a + a2) = 0

Factor a trinomial.
100((-6 + -1a)(7 + -1a)) = 0

Ignore the factor 100.
Subproblem 1
Set the factor '(-6 + -1a)' equal to zero and attempt to solve:

Simplifying
-6 + -1a = 0

Solving
-6 + -1a = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1a = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1a = 0 + 6
-1a = 0 + 6

Combine like terms: 0 + 6 = 6
-1a = 6

Divide each side by '-1'.
a = -6

Simplifying
a = -6
Subproblem 2
Set the factor '(7 + -1a)' equal to zero and attempt to solve:

Simplifying
7 + -1a = 0

Solving
7 + -1a = 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 + -1a = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1a = 0 + -7
-1a = 0 + -7

Combine like terms: 0 + -7 = -7
-1a = -7

Divide each side by '-1'.
a = 7

Simplifying
a = 7
Solution
a = {-6, 7}