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Simplifying (5x2 + 3x + -2) + -1(4x2 + -22) = 0 Reorder the terms: (-2 + 3x + 5x2) + -1(4x2 + -22) = 0 Remove parenthesis around (-2 + 3x + 5x2) -2 + 3x + 5x2 + -1(4x2 + -22) = 0 Reorder the terms: -2 + 3x + 5x2 + -1(-22 + 4x2) = 0 -2 + 3x + 5x2 + (-22 * -1 + 4x2 * -1) = 0 -2 + 3x + 5x2 + (22 + -4x2) = 0 Reorder the terms: -2 + 22 + 3x + 5x2 + -4x2 = 0 Combine like terms: -2 + 22 = 20 20 + 3x + 5x2 + -4x2 = 0 Combine like terms: 5x2 + -4x2 = 1x2 20 + 3x + 1x2 = 0 Solving 20 + 3x + 1x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-20' to each side of the equation. 20 + 3x + -20 + x2 = 0 + -20 Reorder the terms: 20 + -20 + 3x + x2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 3x + x2 = 0 + -20 3x + x2 = 0 + -20 Combine like terms: 0 + -20 = -20 3x + x2 = -20 The x term is 3x. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3x + 2.25 + x2 = -20 + 2.25 Reorder the terms: 2.25 + 3x + x2 = -20 + 2.25 Combine like terms: -20 + 2.25 = -17.75 2.25 + 3x + x2 = -17.75 Factor a perfect square on the left side: (x + 1.5)(x + 1.5) = -17.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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