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Simplifying (2t + -2)(2t + 2) = 0 Reorder the terms: (-2 + 2t)(2t + 2) = 0 Reorder the terms: (-2 + 2t)(2 + 2t) = 0 Multiply (-2 + 2t) * (2 + 2t) (-2(2 + 2t) + 2t * (2 + 2t)) = 0 ((2 * -2 + 2t * -2) + 2t * (2 + 2t)) = 0 ((-4 + -4t) + 2t * (2 + 2t)) = 0 (-4 + -4t + (2 * 2t + 2t * 2t)) = 0 (-4 + -4t + (4t + 4t2)) = 0 Combine like terms: -4t + 4t = 0 (-4 + 0 + 4t2) = 0 (-4 + 4t2) = 0 Solving -4 + 4t2 = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 4t2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 4t2 = 0 + 4 4t2 = 0 + 4 Combine like terms: 0 + 4 = 4 4t2 = 4 Divide each side by '4'. t2 = 1 Simplifying t2 = 1 Take the square root of each side: t = {-1, 1}
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