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Simplifying (8t + -5h)(-3t + 13) = 0 Reorder the terms: (-5h + 8t)(-3t + 13) = 0 Reorder the terms: (-5h + 8t)(13 + -3t) = 0 Multiply (-5h + 8t) * (13 + -3t) (-5h * (13 + -3t) + 8t * (13 + -3t)) = 0 ((13 * -5h + -3t * -5h) + 8t * (13 + -3t)) = 0 ((-65h + 15ht) + 8t * (13 + -3t)) = 0 (-65h + 15ht + (13 * 8t + -3t * 8t)) = 0 (-65h + 15ht + (104t + -24t2)) = 0 (-65h + 15ht + 104t + -24t2) = 0 Solving -65h + 15ht + 104t + -24t2 = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-104t' to each side of the equation. -65h + 15ht + 104t + -104t + -24t2 = 0 + -104t Combine like terms: 104t + -104t = 0 -65h + 15ht + 0 + -24t2 = 0 + -104t -65h + 15ht + -24t2 = 0 + -104t Remove the zero: -65h + 15ht + -24t2 = -104t Add '24t2' to each side of the equation. -65h + 15ht + -24t2 + 24t2 = -104t + 24t2 Combine like terms: -24t2 + 24t2 = 0 -65h + 15ht + 0 = -104t + 24t2 -65h + 15ht = -104t + 24t2 Reorder the terms: -65h + 15ht + 104t + -24t2 = -104t + 104t + 24t2 + -24t2 Combine like terms: -104t + 104t = 0 -65h + 15ht + 104t + -24t2 = 0 + 24t2 + -24t2 -65h + 15ht + 104t + -24t2 = 24t2 + -24t2 Combine like terms: 24t2 + -24t2 = 0 -65h + 15ht + 104t + -24t2 = 0 The solution to this equation could not be determined.
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