=7a^2-63a+98

Solution for =7a^2-63a+98 equation:

Simplifying
0 = 7a2 + -63a + 98

Reorder the terms:
0 = 98 + -63a + 7a2

Solving
0 = 98 + -63a + 7a2

Solving for variable 'a'.

Combine like terms: 0 + -98 = -98
-98 + 63a + -7a2 = 98 + -63a + 7a2 + -98 + 63a + -7a2

Reorder the terms:
-98 + 63a + -7a2 = 98 + -98 + -63a + 63a + 7a2 + -7a2

Combine like terms: 98 + -98 = 0
-98 + 63a + -7a2 = 0 + -63a + 63a + 7a2 + -7a2
-98 + 63a + -7a2 = -63a + 63a + 7a2 + -7a2

Combine like terms: -63a + 63a = 0
-98 + 63a + -7a2 = 0 + 7a2 + -7a2
-98 + 63a + -7a2 = 7a2 + -7a2

Combine like terms: 7a2 + -7a2 = 0
-98 + 63a + -7a2 = 0

Factor out the Greatest Common Factor (GCF), '7'.
7(-14 + 9a + -1a2) = 0

Factor a trinomial.
7((-7 + a)(2 + -1a)) = 0

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

Simplifying
2 + -1a = 0

Solving
2 + -1a = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1a = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1a = 0 + -2
-1a = 0 + -2

Combine like terms: 0 + -2 = -2
-1a = -2

Divide each side by '-1'.
a = 2

Simplifying
a = 2
Solution
a = {7, 2}