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Simplifying 4t2 + -7t + 7 = 0 Reorder the terms: 7 + -7t + 4t2 = 0 Solving 7 + -7t + 4t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 1.75 + -1.75t + t2 = 0 Move the constant term to the right: Add '-1.75' to each side of the equation. 1.75 + -1.75t + -1.75 + t2 = 0 + -1.75 Reorder the terms: 1.75 + -1.75 + -1.75t + t2 = 0 + -1.75 Combine like terms: 1.75 + -1.75 = 0.00 0.00 + -1.75t + t2 = 0 + -1.75 -1.75t + t2 = 0 + -1.75 Combine like terms: 0 + -1.75 = -1.75 -1.75t + t2 = -1.75 The t term is -1.75t. Take half its coefficient (-0.875). Square it (0.765625) and add it to both sides. Add '0.765625' to each side of the equation. -1.75t + 0.765625 + t2 = -1.75 + 0.765625 Reorder the terms: 0.765625 + -1.75t + t2 = -1.75 + 0.765625 Combine like terms: -1.75 + 0.765625 = -0.984375 0.765625 + -1.75t + t2 = -0.984375 Factor a perfect square on the left side: (t + -0.875)(t + -0.875) = -0.984375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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