a(x)=(x-7)(x+3)+25

Solution for a(x)=(x-7)(x+3)+25 equation:

Simplifying
a(x) = (x + -7)(x + 3) + 25

Multiply a * x
ax = (x + -7)(x + 3) + 25

Reorder the terms:
ax = (-7 + x)(x + 3) + 25

Reorder the terms:
ax = (-7 + x)(3 + x) + 25

Multiply (-7 + x) * (3 + x)
ax = (-7(3 + x) + x(3 + x)) + 25
ax = ((3 * -7 + x * -7) + x(3 + x)) + 25
ax = ((-21 + -7x) + x(3 + x)) + 25
ax = (-21 + -7x + (3 * x + x * x)) + 25
ax = (-21 + -7x + (3x + x2)) + 25

Combine like terms: -7x + 3x = -4x
ax = (-21 + -4x + x2) + 25

Reorder the terms:
ax = -21 + 25 + -4x + x2

Combine like terms: -21 + 25 = 4
ax = 4 + -4x + x2

Solving
ax = 4 + -4x + x2

Solving for variable 'a'.

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

Divide each side by 'x'.
a = 4x-1 + -4 + x

Simplifying
a = 4x-1 + -4 + x

Reorder the terms:
a = -4 + 4x-1 + x