2H^2-30=(H+4)(H-4)

Solution for 2H^2-30=(H+4)(H-4) equation:

Simplifying
2H2 + -30 = (H + 4)(H + -4)

Reorder the terms:
-30 + 2H2 = (H + 4)(H + -4)

Reorder the terms:
-30 + 2H2 = (4 + H)(H + -4)

Reorder the terms:
-30 + 2H2 = (4 + H)(-4 + H)

Multiply (4 + H) * (-4 + H)
-30 + 2H2 = (4(-4 + H) + H(-4 + H))
-30 + 2H2 = ((-4 * 4 + H * 4) + H(-4 + H))
-30 + 2H2 = ((-16 + 4H) + H(-4 + H))
-30 + 2H2 = (-16 + 4H + (-4 * H + H * H))
-30 + 2H2 = (-16 + 4H + (-4H + H2))

Combine like terms: 4H + -4H = 0
-30 + 2H2 = (-16 + 0 + H2)
-30 + 2H2 = (-16 + H2)

Solving
-30 + 2H2 = -16 + H2

Solving for variable 'H'.

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

Add '-1H2' to each side of the equation.
-30 + 2H2 + -1H2 = -16 + H2 + -1H2

Combine like terms: 2H2 + -1H2 = 1H2
-30 + 1H2 = -16 + H2 + -1H2

Combine like terms: H2 + -1H2 = 0
-30 + 1H2 = -16 + 0
-30 + 1H2 = -16

Add '30' to each side of the equation.
-30 + 30 + 1H2 = -16 + 30

Combine like terms: -30 + 30 = 0
0 + 1H2 = -16 + 30
1H2 = -16 + 30

Combine like terms: -16 + 30 = 14
1H2 = 14

Divide each side by '1'.
H2 = 14

Simplifying
H2 = 14

Take the square root of each side:
H = {-3.741657387, 3.741657387}