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Simplifying 0 = 0.004x2 + -0.28x + 62.5 Reorder the terms: 0 = 62.5 + -0.28x + 0.004x2 Solving 0 = 62.5 + -0.28x + 0.004x2 Solving for variable 'x'. Combine like terms: 0 + -62.5 = -62.5 -62.5 + 0.28x + -0.004x2 = 62.5 + -0.28x + 0.004x2 + -62.5 + 0.28x + -0.004x2 Reorder the terms: -62.5 + 0.28x + -0.004x2 = 62.5 + -62.5 + -0.28x + 0.28x + 0.004x2 + -0.004x2 Combine like terms: 62.5 + -62.5 = 0.0 -62.5 + 0.28x + -0.004x2 = 0.0 + -0.28x + 0.28x + 0.004x2 + -0.004x2 -62.5 + 0.28x + -0.004x2 = -0.28x + 0.28x + 0.004x2 + -0.004x2 Combine like terms: -0.28x + 0.28x = 0.00 -62.5 + 0.28x + -0.004x2 = 0.00 + 0.004x2 + -0.004x2 -62.5 + 0.28x + -0.004x2 = 0.004x2 + -0.004x2 Combine like terms: 0.004x2 + -0.004x2 = 0.000 -62.5 + 0.28x + -0.004x2 = 0.000 Begin completing the square. Divide all terms by -0.004 the coefficient of the squared term: Divide each side by '-0.004'. 15625 + -70x + x2 = 0 Move the constant term to the right: Add '-15625' to each side of the equation. 15625 + -70x + -15625 + x2 = 0 + -15625 Reorder the terms: 15625 + -15625 + -70x + x2 = 0 + -15625 Combine like terms: 15625 + -15625 = 0 0 + -70x + x2 = 0 + -15625 -70x + x2 = 0 + -15625 Combine like terms: 0 + -15625 = -15625 -70x + x2 = -15625 The x term is -70x. Take half its coefficient (-35). Square it (1225) and add it to both sides. Add '1225' to each side of the equation. -70x + 1225 + x2 = -15625 + 1225 Reorder the terms: 1225 + -70x + x2 = -15625 + 1225 Combine like terms: -15625 + 1225 = -14400 1225 + -70x + x2 = -14400 Factor a perfect square on the left side: (x + -35)(x + -35) = -14400 Can't calculate square root of the right side. The solution to this equation could not be determined.
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