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Simplifying 10x2 + -9x = -4 Reorder the terms: -9x + 10x2 = -4 Solving -9x + 10x2 = -4 Solving for variable 'x'. Reorder the terms: 4 + -9x + 10x2 = -4 + 4 Combine like terms: -4 + 4 = 0 4 + -9x + 10x2 = 0 Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 0.4 + -0.9x + x2 = 0 Move the constant term to the right: Add '-0.4' to each side of the equation. 0.4 + -0.9x + -0.4 + x2 = 0 + -0.4 Reorder the terms: 0.4 + -0.4 + -0.9x + x2 = 0 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + -0.9x + x2 = 0 + -0.4 -0.9x + x2 = 0 + -0.4 Combine like terms: 0 + -0.4 = -0.4 -0.9x + x2 = -0.4 The x term is -0.9x. Take half its coefficient (-0.45). Square it (0.2025) and add it to both sides. Add '0.2025' to each side of the equation. -0.9x + 0.2025 + x2 = -0.4 + 0.2025 Reorder the terms: 0.2025 + -0.9x + x2 = -0.4 + 0.2025 Combine like terms: -0.4 + 0.2025 = -0.1975 0.2025 + -0.9x + x2 = -0.1975 Factor a perfect square on the left side: (x + -0.45)(x + -0.45) = -0.1975 Can't calculate square root of the right side. The solution to this equation could not be determined.
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