h=-5(t-5)(t+2)

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Solution for h=-5(t-5)(t+2) equation:


Simplifying
h = -5(t + -5)(t + 2)

Reorder the terms:
h = -5(-5 + t)(t + 2)

Reorder the terms:
h = -5(-5 + t)(2 + t)

Multiply (-5 + t) * (2 + t)
h = -5(-5(2 + t) + t(2 + t))
h = -5((2 * -5 + t * -5) + t(2 + t))
h = -5((-10 + -5t) + t(2 + t))
h = -5(-10 + -5t + (2 * t + t * t))
h = -5(-10 + -5t + (2t + t2))

Combine like terms: -5t + 2t = -3t
h = -5(-10 + -3t + t2)
h = (-10 * -5 + -3t * -5 + t2 * -5)
h = (50 + 15t + -5t2)

Solving
h = 50 + 15t + -5t2

Solving for variable 'h'.

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

Simplifying
h = 50 + 15t + -5t2

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