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Simplifying 0 = 4.9x2 + 12x + 30 Reorder the terms: 0 = 30 + 12x + 4.9x2 Solving 0 = 30 + 12x + 4.9x2 Solving for variable 'x'. Combine like terms: 0 + -30 = -30 -30 + -12x + -4.9x2 = 30 + 12x + 4.9x2 + -30 + -12x + -4.9x2 Reorder the terms: -30 + -12x + -4.9x2 = 30 + -30 + 12x + -12x + 4.9x2 + -4.9x2 Combine like terms: 30 + -30 = 0 -30 + -12x + -4.9x2 = 0 + 12x + -12x + 4.9x2 + -4.9x2 -30 + -12x + -4.9x2 = 12x + -12x + 4.9x2 + -4.9x2 Combine like terms: 12x + -12x = 0 -30 + -12x + -4.9x2 = 0 + 4.9x2 + -4.9x2 -30 + -12x + -4.9x2 = 4.9x2 + -4.9x2 Combine like terms: 4.9x2 + -4.9x2 = 0.0 -30 + -12x + -4.9x2 = 0.0 Begin completing the square. Divide all terms by -4.9 the coefficient of the squared term: Divide each side by '-4.9'. 6.12244898 + 2.448979592x + x2 = 0 Move the constant term to the right: Add '-6.12244898' to each side of the equation. 6.12244898 + 2.448979592x + -6.12244898 + x2 = 0 + -6.12244898 Reorder the terms: 6.12244898 + -6.12244898 + 2.448979592x + x2 = 0 + -6.12244898 Combine like terms: 6.12244898 + -6.12244898 = 0.00000000 0.00000000 + 2.448979592x + x2 = 0 + -6.12244898 2.448979592x + x2 = 0 + -6.12244898 Combine like terms: 0 + -6.12244898 = -6.12244898 2.448979592x + x2 = -6.12244898 The x term is 2.448979592x. Take half its coefficient (1.224489796). Square it (1.499375261) and add it to both sides. Add '1.499375261' to each side of the equation. 2.448979592x + 1.499375261 + x2 = -6.12244898 + 1.499375261 Reorder the terms: 1.499375261 + 2.448979592x + x2 = -6.12244898 + 1.499375261 Combine like terms: -6.12244898 + 1.499375261 = -4.623073719 1.499375261 + 2.448979592x + x2 = -4.623073719 Factor a perfect square on the left side: (x + 1.224489796)(x + 1.224489796) = -4.623073719 Can't calculate square root of the right side. The solution to this equation could not be determined.
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