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Simplifying 0.4x + -0.04x2 = 1.9 Solving 0.4x + -0.04x2 = 1.9 Solving for variable 'x'. Reorder the terms: -1.9 + 0.4x + -0.04x2 = 1.9 + -1.9 Combine like terms: 1.9 + -1.9 = 0.0 -1.9 + 0.4x + -0.04x2 = 0.0 Begin completing the square. Divide all terms by -0.04 the coefficient of the squared term: Divide each side by '-0.04'. 47.5 + -10x + x2 = 0 Move the constant term to the right: Add '-47.5' to each side of the equation. 47.5 + -10x + -47.5 + x2 = 0 + -47.5 Reorder the terms: 47.5 + -47.5 + -10x + x2 = 0 + -47.5 Combine like terms: 47.5 + -47.5 = 0.0 0.0 + -10x + x2 = 0 + -47.5 -10x + x2 = 0 + -47.5 Combine like terms: 0 + -47.5 = -47.5 -10x + x2 = -47.5 The x term is -10x. Take half its coefficient (-5). Square it (25) and add it to both sides. Add '25' to each side of the equation. -10x + 25 + x2 = -47.5 + 25 Reorder the terms: 25 + -10x + x2 = -47.5 + 25 Combine like terms: -47.5 + 25 = -22.5 25 + -10x + x2 = -22.5 Factor a perfect square on the left side: (x + -5)(x + -5) = -22.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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