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Simplifying (r + -1t)(2t + 5) = 0 Reorder the terms: (r + -1t)(5 + 2t) = 0 Multiply (r + -1t) * (5 + 2t) (r(5 + 2t) + -1t * (5 + 2t)) = 0 ((5 * r + 2t * r) + -1t * (5 + 2t)) = 0 ((5r + 2rt) + -1t * (5 + 2t)) = 0 (5r + 2rt + (5 * -1t + 2t * -1t)) = 0 (5r + 2rt + (-5t + -2t2)) = 0 (5r + 2rt + -5t + -2t2) = 0 Solving 5r + 2rt + -5t + -2t2 = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5t' to each side of the equation. 5r + 2rt + -5t + 5t + -2t2 = 0 + 5t Combine like terms: -5t + 5t = 0 5r + 2rt + 0 + -2t2 = 0 + 5t 5r + 2rt + -2t2 = 0 + 5t Remove the zero: 5r + 2rt + -2t2 = 5t Add '2t2' to each side of the equation. 5r + 2rt + -2t2 + 2t2 = 5t + 2t2 Combine like terms: -2t2 + 2t2 = 0 5r + 2rt + 0 = 5t + 2t2 5r + 2rt = 5t + 2t2 Reorder the terms: 5r + 2rt + -5t + -2t2 = 5t + -5t + 2t2 + -2t2 Combine like terms: 5t + -5t = 0 5r + 2rt + -5t + -2t2 = 0 + 2t2 + -2t2 5r + 2rt + -5t + -2t2 = 2t2 + -2t2 Combine like terms: 2t2 + -2t2 = 0 5r + 2rt + -5t + -2t2 = 0 The solution to this equation could not be determined.
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