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Simplifying (4x + 2) + -1(5x2 + 2x + 5) = 0 Reorder the terms: (2 + 4x) + -1(5x2 + 2x + 5) = 0 Remove parenthesis around (2 + 4x) 2 + 4x + -1(5x2 + 2x + 5) = 0 Reorder the terms: 2 + 4x + -1(5 + 2x + 5x2) = 0 2 + 4x + (5 * -1 + 2x * -1 + 5x2 * -1) = 0 2 + 4x + (-5 + -2x + -5x2) = 0 Reorder the terms: 2 + -5 + 4x + -2x + -5x2 = 0 Combine like terms: 2 + -5 = -3 -3 + 4x + -2x + -5x2 = 0 Combine like terms: 4x + -2x = 2x -3 + 2x + -5x2 = 0 Solving -3 + 2x + -5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 0.6 + -0.4x + x2 = 0 Move the constant term to the right: Add '-0.6' to each side of the equation. 0.6 + -0.4x + -0.6 + x2 = 0 + -0.6 Reorder the terms: 0.6 + -0.6 + -0.4x + x2 = 0 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + -0.4x + x2 = 0 + -0.6 -0.4x + x2 = 0 + -0.6 Combine like terms: 0 + -0.6 = -0.6 -0.4x + x2 = -0.6 The x term is -0.4x. Take half its coefficient (-0.2). Square it (0.04) and add it to both sides. Add '0.04' to each side of the equation. -0.4x + 0.04 + x2 = -0.6 + 0.04 Reorder the terms: 0.04 + -0.4x + x2 = -0.6 + 0.04 Combine like terms: -0.6 + 0.04 = -0.56 0.04 + -0.4x + x2 = -0.56 Factor a perfect square on the left side: (x + -0.2)(x + -0.2) = -0.56 Can't calculate square root of the right side. The solution to this equation could not be determined.
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