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Simplifying 20x + -10x2 = 1200 Solving 20x + -10x2 = 1200 Solving for variable 'x'. Reorder the terms: -1200 + 20x + -10x2 = 1200 + -1200 Combine like terms: 1200 + -1200 = 0 -1200 + 20x + -10x2 = 0 Factor out the Greatest Common Factor (GCF), '10'. 10(-120 + 2x + -1x2) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(-120 + 2x + -1x2)' equal to zero and attempt to solve: Simplifying -120 + 2x + -1x2 = 0 Solving -120 + 2x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 120 + -2x + x2 = 0 Move the constant term to the right: Add '-120' to each side of the equation. 120 + -2x + -120 + x2 = 0 + -120 Reorder the terms: 120 + -120 + -2x + x2 = 0 + -120 Combine like terms: 120 + -120 = 0 0 + -2x + x2 = 0 + -120 -2x + x2 = 0 + -120 Combine like terms: 0 + -120 = -120 -2x + x2 = -120 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = -120 + 1 Reorder the terms: 1 + -2x + x2 = -120 + 1 Combine like terms: -120 + 1 = -119 1 + -2x + x2 = -119 Factor a perfect square on the left side: (x + -1)(x + -1) = -119 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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