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Simplifying 5x + -4.9x2 = 1.5 Solving 5x + -4.9x2 = 1.5 Solving for variable 'x'. Reorder the terms: -1.5 + 5x + -4.9x2 = 1.5 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 -1.5 + 5x + -4.9x2 = 0.0 Begin completing the square. Divide all terms by -4.9 the coefficient of the squared term: Divide each side by '-4.9'. 0.306122449 + -1.020408163x + x2 = 0 Move the constant term to the right: Add '-0.306122449' to each side of the equation. 0.306122449 + -1.020408163x + -0.306122449 + x2 = 0 + -0.306122449 Reorder the terms: 0.306122449 + -0.306122449 + -1.020408163x + x2 = 0 + -0.306122449 Combine like terms: 0.306122449 + -0.306122449 = 0.000000000 0.000000000 + -1.020408163x + x2 = 0 + -0.306122449 -1.020408163x + x2 = 0 + -0.306122449 Combine like terms: 0 + -0.306122449 = -0.306122449 -1.020408163x + x2 = -0.306122449 The x term is -1.020408163x. Take half its coefficient (-0.5102040815). Square it (0.2603082048) and add it to both sides. Add '0.2603082048' to each side of the equation. -1.020408163x + 0.2603082048 + x2 = -0.306122449 + 0.2603082048 Reorder the terms: 0.2603082048 + -1.020408163x + x2 = -0.306122449 + 0.2603082048 Combine like terms: -0.306122449 + 0.2603082048 = -0.0458142442 0.2603082048 + -1.020408163x + x2 = -0.0458142442 Factor a perfect square on the left side: (x + -0.5102040815)(x + -0.5102040815) = -0.0458142442 Can't calculate square root of the right side. The solution to this equation could not be determined.
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