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Simplifying 2(25x2 + -30x + 90) = 7 Reorder the terms: 2(90 + -30x + 25x2) = 7 (90 * 2 + -30x * 2 + 25x2 * 2) = 7 (180 + -60x + 50x2) = 7 Solving 180 + -60x + 50x2 = 7 Solving for variable 'x'. Reorder the terms: 180 + -7 + -60x + 50x2 = 7 + -7 Combine like terms: 180 + -7 = 173 173 + -60x + 50x2 = 7 + -7 Combine like terms: 7 + -7 = 0 173 + -60x + 50x2 = 0 Begin completing the square. Divide all terms by 50 the coefficient of the squared term: Divide each side by '50'. 3.46 + -1.2x + x2 = 0.0 Move the constant term to the right: Add '-3.46' to each side of the equation. 3.46 + -1.2x + -3.46 + x2 = 0.0 + -3.46 Reorder the terms: 3.46 + -3.46 + -1.2x + x2 = 0.0 + -3.46 Combine like terms: 3.46 + -3.46 = 0.00 0.00 + -1.2x + x2 = 0.0 + -3.46 -1.2x + x2 = 0.0 + -3.46 Combine like terms: 0.0 + -3.46 = -3.46 -1.2x + x2 = -3.46 The x term is -1.2x. Take half its coefficient (-0.6). Square it (0.36) and add it to both sides. Add '0.36' to each side of the equation. -1.2x + 0.36 + x2 = -3.46 + 0.36 Reorder the terms: 0.36 + -1.2x + x2 = -3.46 + 0.36 Combine like terms: -3.46 + 0.36 = -3.1 0.36 + -1.2x + x2 = -3.1 Factor a perfect square on the left side: (x + -0.6)(x + -0.6) = -3.1 Can't calculate square root of the right side. The solution to this equation could not be determined.
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