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Simplifying (5x2 + -2x + -1) + -1(x2 + -3x + -5) = 0 Reorder the terms: (-1 + -2x + 5x2) + -1(x2 + -3x + -5) = 0 Remove parenthesis around (-1 + -2x + 5x2) -1 + -2x + 5x2 + -1(x2 + -3x + -5) = 0 Reorder the terms: -1 + -2x + 5x2 + -1(-5 + -3x + x2) = 0 -1 + -2x + 5x2 + (-5 * -1 + -3x * -1 + x2 * -1) = 0 -1 + -2x + 5x2 + (5 + 3x + -1x2) = 0 Reorder the terms: -1 + 5 + -2x + 3x + 5x2 + -1x2 = 0 Combine like terms: -1 + 5 = 4 4 + -2x + 3x + 5x2 + -1x2 = 0 Combine like terms: -2x + 3x = 1x 4 + 1x + 5x2 + -1x2 = 0 Combine like terms: 5x2 + -1x2 = 4x2 4 + 1x + 4x2 = 0 Solving 4 + 1x + 4x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 1 + 0.25x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + 0.25x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + 0.25x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 0.25x + x2 = 0 + -1 0.25x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 0.25x + x2 = -1 The x term is 0.25x. Take half its coefficient (0.125). Square it (0.015625) and add it to both sides. Add '0.015625' to each side of the equation. 0.25x + 0.015625 + x2 = -1 + 0.015625 Reorder the terms: 0.015625 + 0.25x + x2 = -1 + 0.015625 Combine like terms: -1 + 0.015625 = -0.984375 0.015625 + 0.25x + x2 = -0.984375 Factor a perfect square on the left side: (x + 0.125)(x + 0.125) = -0.984375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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