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Simplifying (6x2 + 7x + -3) + -1(-2x2 + 4x + -5) = 0 Reorder the terms: (-3 + 7x + 6x2) + -1(-2x2 + 4x + -5) = 0 Remove parenthesis around (-3 + 7x + 6x2) -3 + 7x + 6x2 + -1(-2x2 + 4x + -5) = 0 Reorder the terms: -3 + 7x + 6x2 + -1(-5 + 4x + -2x2) = 0 -3 + 7x + 6x2 + (-5 * -1 + 4x * -1 + -2x2 * -1) = 0 -3 + 7x + 6x2 + (5 + -4x + 2x2) = 0 Reorder the terms: -3 + 5 + 7x + -4x + 6x2 + 2x2 = 0 Combine like terms: -3 + 5 = 2 2 + 7x + -4x + 6x2 + 2x2 = 0 Combine like terms: 7x + -4x = 3x 2 + 3x + 6x2 + 2x2 = 0 Combine like terms: 6x2 + 2x2 = 8x2 2 + 3x + 8x2 = 0 Solving 2 + 3x + 8x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 0.25 + 0.375x + x2 = 0 Move the constant term to the right: Add '-0.25' to each side of the equation. 0.25 + 0.375x + -0.25 + x2 = 0 + -0.25 Reorder the terms: 0.25 + -0.25 + 0.375x + x2 = 0 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + 0.375x + x2 = 0 + -0.25 0.375x + x2 = 0 + -0.25 Combine like terms: 0 + -0.25 = -0.25 0.375x + x2 = -0.25 The x term is 0.375x. Take half its coefficient (0.1875). Square it (0.03515625) and add it to both sides. Add '0.03515625' to each side of the equation. 0.375x + 0.03515625 + x2 = -0.25 + 0.03515625 Reorder the terms: 0.03515625 + 0.375x + x2 = -0.25 + 0.03515625 Combine like terms: -0.25 + 0.03515625 = -0.21484375 0.03515625 + 0.375x + x2 = -0.21484375 Factor a perfect square on the left side: (x + 0.1875)(x + 0.1875) = -0.21484375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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