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Simplifying 4x + -9x2 = 224 Solving 4x + -9x2 = 224 Solving for variable 'x'. Reorder the terms: -224 + 4x + -9x2 = 224 + -224 Combine like terms: 224 + -224 = 0 -224 + 4x + -9x2 = 0 Begin completing the square. Divide all terms by -9 the coefficient of the squared term: Divide each side by '-9'. 24.88888889 + -0.4444444444x + x2 = 0 Move the constant term to the right: Add '-24.88888889' to each side of the equation. 24.88888889 + -0.4444444444x + -24.88888889 + x2 = 0 + -24.88888889 Reorder the terms: 24.88888889 + -24.88888889 + -0.4444444444x + x2 = 0 + -24.88888889 Combine like terms: 24.88888889 + -24.88888889 = 0.00000000 0.00000000 + -0.4444444444x + x2 = 0 + -24.88888889 -0.4444444444x + x2 = 0 + -24.88888889 Combine like terms: 0 + -24.88888889 = -24.88888889 -0.4444444444x + x2 = -24.88888889 The x term is -0.4444444444x. Take half its coefficient (-0.2222222222). Square it (0.04938271604) and add it to both sides. Add '0.04938271604' to each side of the equation. -0.4444444444x + 0.04938271604 + x2 = -24.88888889 + 0.04938271604 Reorder the terms: 0.04938271604 + -0.4444444444x + x2 = -24.88888889 + 0.04938271604 Combine like terms: -24.88888889 + 0.04938271604 = -24.83950617396 0.04938271604 + -0.4444444444x + x2 = -24.83950617396 Factor a perfect square on the left side: (x + -0.2222222222)(x + -0.2222222222) = -24.83950617396 Can't calculate square root of the right side. The solution to this equation could not be determined.
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