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Simplifying 0.2x + -0.08x(x + -10) = 24.8 Reorder the terms: 0.2x + -0.08x(-10 + x) = 24.8 0.2x + (-10 * -0.08x + x * -0.08x) = 24.8 0.2x + (0.8x + -0.08x2) = 24.8 Combine like terms: 0.2x + 0.8x = 1x 1x + -0.08x2 = 24.8 Solving 1x + -0.08x2 = 24.8 Solving for variable 'x'. Reorder the terms: -24.8 + 1x + -0.08x2 = 24.8 + -24.8 Combine like terms: 24.8 + -24.8 = 0.0 -24.8 + 1x + -0.08x2 = 0.0 Begin completing the square. Divide all terms by -0.08 the coefficient of the squared term: Divide each side by '-0.08'. 310 + -12.5x + x2 = 0 Move the constant term to the right: Add '-310' to each side of the equation. 310 + -12.5x + -310 + x2 = 0 + -310 Reorder the terms: 310 + -310 + -12.5x + x2 = 0 + -310 Combine like terms: 310 + -310 = 0 0 + -12.5x + x2 = 0 + -310 -12.5x + x2 = 0 + -310 Combine like terms: 0 + -310 = -310 -12.5x + x2 = -310 The x term is -12.5x. Take half its coefficient (-6.25). Square it (39.0625) and add it to both sides. Add '39.0625' to each side of the equation. -12.5x + 39.0625 + x2 = -310 + 39.0625 Reorder the terms: 39.0625 + -12.5x + x2 = -310 + 39.0625 Combine like terms: -310 + 39.0625 = -270.9375 39.0625 + -12.5x + x2 = -270.9375 Factor a perfect square on the left side: (x + -6.25)(x + -6.25) = -270.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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