h(x)=4(x+1)(x-6)

Solution for h(x)=4(x+1)(x-6) equation:

Simplifying
h(x) = 4(x + 1)(x + -6)

Multiply h * x
hx = 4(x + 1)(x + -6)

Reorder the terms:
hx = 4(1 + x)(x + -6)

Reorder the terms:
hx = 4(1 + x)(-6 + x)

Multiply (1 + x) * (-6 + x)
hx = 4(1(-6 + x) + x(-6 + x))
hx = 4((-6 * 1 + x * 1) + x(-6 + x))
hx = 4((-6 + 1x) + x(-6 + x))
hx = 4(-6 + 1x + (-6 * x + x * x))
hx = 4(-6 + 1x + (-6x + x2))

Combine like terms: 1x + -6x = -5x
hx = 4(-6 + -5x + x2)
hx = (-6 * 4 + -5x * 4 + x2 * 4)
hx = (-24 + -20x + 4x2)

Solving
hx = -24 + -20x + 4x2

Solving for variable 'h'.

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

Divide each side by 'x'.
h = -24x-1 + -20 + 4x

Simplifying
h = -24x-1 + -20 + 4x

Reorder the terms:
h = -20 + -24x-1 + 4x