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Simplifying (4w + 5t)(4w + -5t) = 0 Reorder the terms: (5t + 4w)(4w + -5t) = 0 Reorder the terms: (5t + 4w)(-5t + 4w) = 0 Multiply (5t + 4w) * (-5t + 4w) (5t * (-5t + 4w) + 4w * (-5t + 4w)) = 0 ((-5t * 5t + 4w * 5t) + 4w * (-5t + 4w)) = 0 Reorder the terms: ((20tw + -25t2) + 4w * (-5t + 4w)) = 0 ((20tw + -25t2) + 4w * (-5t + 4w)) = 0 (20tw + -25t2 + (-5t * 4w + 4w * 4w)) = 0 (20tw + -25t2 + (-20tw + 16w2)) = 0 Reorder the terms: (20tw + -20tw + -25t2 + 16w2) = 0 Combine like terms: 20tw + -20tw = 0 (0 + -25t2 + 16w2) = 0 (-25t2 + 16w2) = 0 Solving -25t2 + 16w2 = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-16w2' to each side of the equation. -25t2 + 16w2 + -16w2 = 0 + -16w2 Combine like terms: 16w2 + -16w2 = 0 -25t2 + 0 = 0 + -16w2 -25t2 = 0 + -16w2 Remove the zero: -25t2 = -16w2 Divide each side by '-25'. t2 = 0.64w2 Simplifying t2 = 0.64w2 Take the square root of each side: t = {-0.8w, 0.8w}
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