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Simplifying (0.7x2 + 0.2x + -0.8) + -1(0.9x2 + 1.4) = 0 Reorder the terms: (-0.8 + 0.2x + 0.7x2) + -1(0.9x2 + 1.4) = 0 Remove parenthesis around (-0.8 + 0.2x + 0.7x2) -0.8 + 0.2x + 0.7x2 + -1(0.9x2 + 1.4) = 0 Reorder the terms: -0.8 + 0.2x + 0.7x2 + -1(1.4 + 0.9x2) = 0 -0.8 + 0.2x + 0.7x2 + (1.4 * -1 + 0.9x2 * -1) = 0 -0.8 + 0.2x + 0.7x2 + (-1.4 + -0.9x2) = 0 Reorder the terms: -0.8 + -1.4 + 0.2x + 0.7x2 + -0.9x2 = 0 Combine like terms: -0.8 + -1.4 = -2.2 -2.2 + 0.2x + 0.7x2 + -0.9x2 = 0 Combine like terms: 0.7x2 + -0.9x2 = -0.2x2 -2.2 + 0.2x + -0.2x2 = 0 Solving -2.2 + 0.2x + -0.2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -0.2 the coefficient of the squared term: Divide each side by '-0.2'. 11 + -1x + x2 = 0 Move the constant term to the right: Add '-11' to each side of the equation. 11 + -1x + -11 + x2 = 0 + -11 Reorder the terms: 11 + -11 + -1x + x2 = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1x + x2 = 0 + -11 -1x + x2 = 0 + -11 Combine like terms: 0 + -11 = -11 -1x + x2 = -11 The x term is -1x. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1x + 0.25 + x2 = -11 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -11 + 0.25 Combine like terms: -11 + 0.25 = -10.75 0.25 + -1x + x2 = -10.75 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -10.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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