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Simplifying -4.9x2 + 9.8x + 0 = 9 Reorder the terms: 0 + 9.8x + -4.9x2 = 9 Remove the zero: 9.8x + -4.9x2 = 9 Solving 9.8x + -4.9x2 = 9 Solving for variable 'x'. Reorder the terms: -9 + 9.8x + -4.9x2 = 9 + -9 Combine like terms: 9 + -9 = 0 -9 + 9.8x + -4.9x2 = 0 Begin completing the square. Divide all terms by -4.9 the coefficient of the squared term: Divide each side by '-4.9'. 1.836734694 + -2x + x2 = 0 Move the constant term to the right: Add '-1.836734694' to each side of the equation. 1.836734694 + -2x + -1.836734694 + x2 = 0 + -1.836734694 Reorder the terms: 1.836734694 + -1.836734694 + -2x + x2 = 0 + -1.836734694 Combine like terms: 1.836734694 + -1.836734694 = 0.000000000 0.000000000 + -2x + x2 = 0 + -1.836734694 -2x + x2 = 0 + -1.836734694 Combine like terms: 0 + -1.836734694 = -1.836734694 -2x + x2 = -1.836734694 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = -1.836734694 + 1 Reorder the terms: 1 + -2x + x2 = -1.836734694 + 1 Combine like terms: -1.836734694 + 1 = -0.836734694 1 + -2x + x2 = -0.836734694 Factor a perfect square on the left side: (x + -1)(x + -1) = -0.836734694 Can't calculate square root of the right side. The solution to this equation could not be determined.
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