7a+h^2-7a^2=a

Solution for 7a+h^2-7a^2=a equation:

Simplifying
7a + h2 + -7a2 = a

Reorder the terms:
7a + -7a2 + h2 = a

Solving
7a + -7a2 + h2 = a

Solving for variable 'a'.

Reorder the terms:
7a + -1a + -7a2 + h2 = a + -1a

Combine like terms: 7a + -1a = 6a
6a + -7a2 + h2 = a + -1a

Combine like terms: a + -1a = 0
6a + -7a2 + h2 = 0

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

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

Simplifying
-7a + -1h = 0

Solving
-7a + -1h = 0

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

Add 'h' to each side of the equation.
-7a + -1h + h = 0 + h

Combine like terms: -1h + h = 0
-7a + 0 = 0 + h
-7a = 0 + h
Remove the zero:
-7a = h

Divide each side by '-7'.
a = -0.1428571429h

Simplifying
a = -0.1428571429h
Subproblem 2
Set the factor '(a + -1h)' equal to zero and attempt to solve:

Simplifying
a + -1h = 0

Solving
a + -1h = 0

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

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

Combine like terms: -1h + h = 0
a + 0 = 0 + h
a = 0 + h
Remove the zero:
a = h

Simplifying
a = h
Solution
a = {-0.1428571429h, h}