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Simplifying 20 = -1(x2) + 1.12x Reorder the terms: 20 = 1.12x + -1x2 Solving 20 = 1.12x + -1x2 Solving for variable 'x'. Reorder the terms: 20 + -1.12x + x2 = 1.12x + -1.12x + -1x2 + x2 Combine like terms: 1.12x + -1.12x = 0.00 20 + -1.12x + x2 = 0.00 + -1x2 + x2 20 + -1.12x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 20 + -1.12x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-20' to each side of the equation. 20 + -1.12x + -20 + x2 = 0 + -20 Reorder the terms: 20 + -20 + -1.12x + x2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1.12x + x2 = 0 + -20 -1.12x + x2 = 0 + -20 Combine like terms: 0 + -20 = -20 -1.12x + x2 = -20 The x term is -1.12x. Take half its coefficient (-0.56). Square it (0.3136) and add it to both sides. Add '0.3136' to each side of the equation. -1.12x + 0.3136 + x2 = -20 + 0.3136 Reorder the terms: 0.3136 + -1.12x + x2 = -20 + 0.3136 Combine like terms: -20 + 0.3136 = -19.6864 0.3136 + -1.12x + x2 = -19.6864 Factor a perfect square on the left side: (x + -0.56)(x + -0.56) = -19.6864 Can't calculate square root of the right side. The solution to this equation could not be determined.
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