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Simplifying 25t2 + 100T + 100 = 3 Reorder the terms: 100 + 100T + 25t2 = 3 Solving 100 + 100T + 25t2 = 3 Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + 100T + -100 + 25t2 = 3 + -100 Reorder the terms: 100 + -100 + 100T + 25t2 = 3 + -100 Combine like terms: 100 + -100 = 0 0 + 100T + 25t2 = 3 + -100 100T + 25t2 = 3 + -100 Combine like terms: 3 + -100 = -97 100T + 25t2 = -97 Add '-25t2' to each side of the equation. 100T + 25t2 + -25t2 = -97 + -25t2 Combine like terms: 25t2 + -25t2 = 0 100T + 0 = -97 + -25t2 100T = -97 + -25t2 Divide each side by '100'. T = -0.97 + -0.25t2 Simplifying T = -0.97 + -0.25t2
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