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Simplifying 0.1x2 + 0.8x + 7 = 0 Reorder the terms: 7 + 0.8x + 0.1x2 = 0 Solving 7 + 0.8x + 0.1x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.1 the coefficient of the squared term: Divide each side by '0.1'. 70 + 8x + x2 = 0 Move the constant term to the right: Add '-70' to each side of the equation. 70 + 8x + -70 + x2 = 0 + -70 Reorder the terms: 70 + -70 + 8x + x2 = 0 + -70 Combine like terms: 70 + -70 = 0 0 + 8x + x2 = 0 + -70 8x + x2 = 0 + -70 Combine like terms: 0 + -70 = -70 8x + x2 = -70 The x term is 8x. Take half its coefficient (4). Square it (16) and add it to both sides. Add '16' to each side of the equation. 8x + 16 + x2 = -70 + 16 Reorder the terms: 16 + 8x + x2 = -70 + 16 Combine like terms: -70 + 16 = -54 16 + 8x + x2 = -54 Factor a perfect square on the left side: (x + 4)(x + 4) = -54 Can't calculate square root of the right side. The solution to this equation could not be determined.
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