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Simplifying (5x2 + -8(x + -3)) + -1(-4(x2 + -2) + -9x) = 0 Reorder the terms: (5x2 + -8(-3 + x)) + -1(-4(x2 + -2) + -9x) = 0 (5x2 + (-3 * -8 + x * -8)) + -1(-4(x2 + -2) + -9x) = 0 (5x2 + (24 + -8x)) + -1(-4(x2 + -2) + -9x) = 0 Reorder the terms: (24 + -8x + 5x2) + -1(-4(x2 + -2) + -9x) = 0 Remove parenthesis around (24 + -8x + 5x2) 24 + -8x + 5x2 + -1(-4(x2 + -2) + -9x) = 0 Reorder the terms: 24 + -8x + 5x2 + -1(-4(-2 + x2) + -9x) = 0 24 + -8x + 5x2 + -1((-2 * -4 + x2 * -4) + -9x) = 0 24 + -8x + 5x2 + -1((8 + -4x2) + -9x) = 0 Reorder the terms: 24 + -8x + 5x2 + -1(8 + -9x + -4x2) = 0 24 + -8x + 5x2 + (8 * -1 + -9x * -1 + -4x2 * -1) = 0 24 + -8x + 5x2 + (-8 + 9x + 4x2) = 0 Reorder the terms: 24 + -8 + -8x + 9x + 5x2 + 4x2 = 0 Combine like terms: 24 + -8 = 16 16 + -8x + 9x + 5x2 + 4x2 = 0 Combine like terms: -8x + 9x = 1x 16 + 1x + 5x2 + 4x2 = 0 Combine like terms: 5x2 + 4x2 = 9x2 16 + 1x + 9x2 = 0 Solving 16 + 1x + 9x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 1.777777778 + 0.1111111111x + x2 = 0 Move the constant term to the right: Add '-1.777777778' to each side of the equation. 1.777777778 + 0.1111111111x + -1.777777778 + x2 = 0 + -1.777777778 Reorder the terms: 1.777777778 + -1.777777778 + 0.1111111111x + x2 = 0 + -1.777777778 Combine like terms: 1.777777778 + -1.777777778 = 0.000000000 0.000000000 + 0.1111111111x + x2 = 0 + -1.777777778 0.1111111111x + x2 = 0 + -1.777777778 Combine like terms: 0 + -1.777777778 = -1.777777778 0.1111111111x + x2 = -1.777777778 The x term is 0.1111111111x. Take half its coefficient (0.05555555555). Square it (0.003086419752) and add it to both sides. Add '0.003086419752' to each side of the equation. 0.1111111111x + 0.003086419752 + x2 = -1.777777778 + 0.003086419752 Reorder the terms: 0.003086419752 + 0.1111111111x + x2 = -1.777777778 + 0.003086419752 Combine like terms: -1.777777778 + 0.003086419752 = -1.774691358248 0.003086419752 + 0.1111111111x + x2 = -1.774691358248 Factor a perfect square on the left side: (x + 0.05555555555)(x + 0.05555555555) = -1.774691358248 Can't calculate square root of the right side. The solution to this equation could not be determined.
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