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Simplifying (6w + 5t)(6w + -5t) = 0 Reorder the terms: (5t + 6w)(6w + -5t) = 0 Reorder the terms: (5t + 6w)(-5t + 6w) = 0 Multiply (5t + 6w) * (-5t + 6w) (5t * (-5t + 6w) + 6w * (-5t + 6w)) = 0 ((-5t * 5t + 6w * 5t) + 6w * (-5t + 6w)) = 0 Reorder the terms: ((30tw + -25t2) + 6w * (-5t + 6w)) = 0 ((30tw + -25t2) + 6w * (-5t + 6w)) = 0 (30tw + -25t2 + (-5t * 6w + 6w * 6w)) = 0 (30tw + -25t2 + (-30tw + 36w2)) = 0 Reorder the terms: (30tw + -30tw + -25t2 + 36w2) = 0 Combine like terms: 30tw + -30tw = 0 (0 + -25t2 + 36w2) = 0 (-25t2 + 36w2) = 0 Solving -25t2 + 36w2 = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-36w2' to each side of the equation. -25t2 + 36w2 + -36w2 = 0 + -36w2 Combine like terms: 36w2 + -36w2 = 0 -25t2 + 0 = 0 + -36w2 -25t2 = 0 + -36w2 Remove the zero: -25t2 = -36w2 Divide each side by '-25'. t2 = 1.44w2 Simplifying t2 = 1.44w2 Take the square root of each side: t = {-1.2w, 1.2w}
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