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Simplifying (150x + -3x2) = 1900 Remove parenthesis around (150x + -3x2) 150x + -3x2 = 1900 Solving 150x + -3x2 = 1900 Solving for variable 'x'. Reorder the terms: -1900 + 150x + -3x2 = 1900 + -1900 Combine like terms: 1900 + -1900 = 0 -1900 + 150x + -3x2 = 0 Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. 633.3333333 + -50x + x2 = 0 Move the constant term to the right: Add '-633.3333333' to each side of the equation. 633.3333333 + -50x + -633.3333333 + x2 = 0 + -633.3333333 Reorder the terms: 633.3333333 + -633.3333333 + -50x + x2 = 0 + -633.3333333 Combine like terms: 633.3333333 + -633.3333333 = 0.0000000 0.0000000 + -50x + x2 = 0 + -633.3333333 -50x + x2 = 0 + -633.3333333 Combine like terms: 0 + -633.3333333 = -633.3333333 -50x + x2 = -633.3333333 The x term is -50x. Take half its coefficient (-25). Square it (625) and add it to both sides. Add '625' to each side of the equation. -50x + 625 + x2 = -633.3333333 + 625 Reorder the terms: 625 + -50x + x2 = -633.3333333 + 625 Combine like terms: -633.3333333 + 625 = -8.3333333 625 + -50x + x2 = -8.3333333 Factor a perfect square on the left side: (x + -25)(x + -25) = -8.3333333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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