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Simplifying 0 = 4x2 + -19x + 30 Reorder the terms: 0 = 30 + -19x + 4x2 Solving 0 = 30 + -19x + 4x2 Solving for variable 'x'. Combine like terms: 0 + -30 = -30 -30 + 19x + -4x2 = 30 + -19x + 4x2 + -30 + 19x + -4x2 Reorder the terms: -30 + 19x + -4x2 = 30 + -30 + -19x + 19x + 4x2 + -4x2 Combine like terms: 30 + -30 = 0 -30 + 19x + -4x2 = 0 + -19x + 19x + 4x2 + -4x2 -30 + 19x + -4x2 = -19x + 19x + 4x2 + -4x2 Combine like terms: -19x + 19x = 0 -30 + 19x + -4x2 = 0 + 4x2 + -4x2 -30 + 19x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -30 + 19x + -4x2 = 0 Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. 7.5 + -4.75x + x2 = 0 Move the constant term to the right: Add '-7.5' to each side of the equation. 7.5 + -4.75x + -7.5 + x2 = 0 + -7.5 Reorder the terms: 7.5 + -7.5 + -4.75x + x2 = 0 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + -4.75x + x2 = 0 + -7.5 -4.75x + x2 = 0 + -7.5 Combine like terms: 0 + -7.5 = -7.5 -4.75x + x2 = -7.5 The x term is -4.75x. Take half its coefficient (-2.375). Square it (5.640625) and add it to both sides. Add '5.640625' to each side of the equation. -4.75x + 5.640625 + x2 = -7.5 + 5.640625 Reorder the terms: 5.640625 + -4.75x + x2 = -7.5 + 5.640625 Combine like terms: -7.5 + 5.640625 = -1.859375 5.640625 + -4.75x + x2 = -1.859375 Factor a perfect square on the left side: (x + -2.375)(x + -2.375) = -1.859375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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