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Simplifying 3 + -2x(5 + -2x) = 4x * 2 + x + -30 3 + (5 * -2x + -2x * -2x) = 4x * 2 + x + -30 3 + (-10x + 4x2) = 4x * 2 + x + -30 Reorder the terms for easier multiplication: 3 + -10x + 4x2 = 4 * 2x + x + -30 Multiply 4 * 2 3 + -10x + 4x2 = 8x + x + -30 Reorder the terms: 3 + -10x + 4x2 = -30 + 8x + x Combine like terms: 8x + x = 9x 3 + -10x + 4x2 = -30 + 9x Solving 3 + -10x + 4x2 = -30 + 9x Solving for variable 'x'. Reorder the terms: 3 + 30 + -10x + -9x + 4x2 = -30 + 9x + 30 + -9x Combine like terms: 3 + 30 = 33 33 + -10x + -9x + 4x2 = -30 + 9x + 30 + -9x Combine like terms: -10x + -9x = -19x 33 + -19x + 4x2 = -30 + 9x + 30 + -9x Reorder the terms: 33 + -19x + 4x2 = -30 + 30 + 9x + -9x Combine like terms: -30 + 30 = 0 33 + -19x + 4x2 = 0 + 9x + -9x 33 + -19x + 4x2 = 9x + -9x Combine like terms: 9x + -9x = 0 33 + -19x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 8.25 + -4.75x + x2 = 0 Move the constant term to the right: Add '-8.25' to each side of the equation. 8.25 + -4.75x + -8.25 + x2 = 0 + -8.25 Reorder the terms: 8.25 + -8.25 + -4.75x + x2 = 0 + -8.25 Combine like terms: 8.25 + -8.25 = 0.00 0.00 + -4.75x + x2 = 0 + -8.25 -4.75x + x2 = 0 + -8.25 Combine like terms: 0 + -8.25 = -8.25 -4.75x + x2 = -8.25 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 = -8.25 + 5.640625 Reorder the terms: 5.640625 + -4.75x + x2 = -8.25 + 5.640625 Combine like terms: -8.25 + 5.640625 = -2.609375 5.640625 + -4.75x + x2 = -2.609375 Factor a perfect square on the left side: (x + -2.375)(x + -2.375) = -2.609375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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