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Simplifying 0 = 4.9x2 + 12x + 76 Reorder the terms: 0 = 76 + 12x + 4.9x2 Solving 0 = 76 + 12x + 4.9x2 Solving for variable 'x'. Combine like terms: 0 + -76 = -76 -76 + -12x + -4.9x2 = 76 + 12x + 4.9x2 + -76 + -12x + -4.9x2 Reorder the terms: -76 + -12x + -4.9x2 = 76 + -76 + 12x + -12x + 4.9x2 + -4.9x2 Combine like terms: 76 + -76 = 0 -76 + -12x + -4.9x2 = 0 + 12x + -12x + 4.9x2 + -4.9x2 -76 + -12x + -4.9x2 = 12x + -12x + 4.9x2 + -4.9x2 Combine like terms: 12x + -12x = 0 -76 + -12x + -4.9x2 = 0 + 4.9x2 + -4.9x2 -76 + -12x + -4.9x2 = 4.9x2 + -4.9x2 Combine like terms: 4.9x2 + -4.9x2 = 0.0 -76 + -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'. 15.51020408 + 2.448979592x + x2 = 0 Move the constant term to the right: Add '-15.51020408' to each side of the equation. 15.51020408 + 2.448979592x + -15.51020408 + x2 = 0 + -15.51020408 Reorder the terms: 15.51020408 + -15.51020408 + 2.448979592x + x2 = 0 + -15.51020408 Combine like terms: 15.51020408 + -15.51020408 = 0.00000000 0.00000000 + 2.448979592x + x2 = 0 + -15.51020408 2.448979592x + x2 = 0 + -15.51020408 Combine like terms: 0 + -15.51020408 = -15.51020408 2.448979592x + x2 = -15.51020408 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 = -15.51020408 + 1.499375261 Reorder the terms: 1.499375261 + 2.448979592x + x2 = -15.51020408 + 1.499375261 Combine like terms: -15.51020408 + 1.499375261 = -14.010828819 1.499375261 + 2.448979592x + x2 = -14.010828819 Factor a perfect square on the left side: (x + 1.224489796)(x + 1.224489796) = -14.010828819 Can't calculate square root of the right side. The solution to this equation could not be determined.
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