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Simplifying w2 + -2w + 1 + -16t2 = 0 Reorder the terms: 1 + -16t2 + -2w + w2 = 0 Solving 1 + -16t2 + -2w + w2 = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -16t2 + -2w + -1 + w2 = 0 + -1 Reorder the terms: 1 + -1 + -16t2 + -2w + w2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -16t2 + -2w + w2 = 0 + -1 -16t2 + -2w + w2 = 0 + -1 Combine like terms: 0 + -1 = -1 -16t2 + -2w + w2 = -1 Add '2w' to each side of the equation. -16t2 + -2w + 2w + w2 = -1 + 2w Combine like terms: -2w + 2w = 0 -16t2 + 0 + w2 = -1 + 2w -16t2 + w2 = -1 + 2w Add '-1w2' to each side of the equation. -16t2 + w2 + -1w2 = -1 + 2w + -1w2 Combine like terms: w2 + -1w2 = 0 -16t2 + 0 = -1 + 2w + -1w2 -16t2 = -1 + 2w + -1w2 Divide each side by '-16'. t2 = 0.0625 + -0.125w + 0.0625w2 Simplifying t2 = 0.0625 + -0.125w + 0.0625w2 Reorder the terms: -0.0625 + t2 + 0.125w + -0.0625w2 = 0.0625 + -0.125w + 0.0625w2 + -0.0625 + 0.125w + -0.0625w2 Reorder the terms: -0.0625 + t2 + 0.125w + -0.0625w2 = 0.0625 + -0.0625 + -0.125w + 0.125w + 0.0625w2 + -0.0625w2 Combine like terms: 0.0625 + -0.0625 = 0.0000 -0.0625 + t2 + 0.125w + -0.0625w2 = 0.0000 + -0.125w + 0.125w + 0.0625w2 + -0.0625w2 -0.0625 + t2 + 0.125w + -0.0625w2 = -0.125w + 0.125w + 0.0625w2 + -0.0625w2 Combine like terms: -0.125w + 0.125w = 0.000 -0.0625 + t2 + 0.125w + -0.0625w2 = 0.000 + 0.0625w2 + -0.0625w2 -0.0625 + t2 + 0.125w + -0.0625w2 = 0.0625w2 + -0.0625w2 Combine like terms: 0.0625w2 + -0.0625w2 = 0.0000 -0.0625 + t2 + 0.125w + -0.0625w2 = 0.0000 The solution to this equation could not be determined.
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