h(x)=(x+1)(x-6)

Solution for h(x)=(x+1)(x-6) equation:

Simplifying
h(x) = (x + 1)(x + -6)

Multiply h * x
hx = (x + 1)(x + -6)

Reorder the terms:
hx = (1 + x)(x + -6)

Reorder the terms:
hx = (1 + x)(-6 + x)

Multiply (1 + x) * (-6 + x)
hx = (1(-6 + x) + x(-6 + x))
hx = ((-6 * 1 + x * 1) + x(-6 + x))
hx = ((-6 + 1x) + x(-6 + x))
hx = (-6 + 1x + (-6 * x + x * x))
hx = (-6 + 1x + (-6x + x2))

Combine like terms: 1x + -6x = -5x
hx = (-6 + -5x + x2)

Solving
hx = -6 + -5x + x2

Solving for variable 'h'.

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

Divide each side by 'x'.
h = -6x-1 + -5 + x

Simplifying
h = -6x-1 + -5 + x

Reorder the terms:
h = -5 + -6x-1 + x