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Simplifying 25x2 + 350x + 1225 = -845 Reorder the terms: 1225 + 350x + 25x2 = -845 Solving 1225 + 350x + 25x2 = -845 Solving for variable 'x'. Reorder the terms: 1225 + 845 + 350x + 25x2 = -845 + 845 Combine like terms: 1225 + 845 = 2070 2070 + 350x + 25x2 = -845 + 845 Combine like terms: -845 + 845 = 0 2070 + 350x + 25x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(414 + 70x + 5x2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(414 + 70x + 5x2)' equal to zero and attempt to solve: Simplifying 414 + 70x + 5x2 = 0 Solving 414 + 70x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 82.8 + 14x + x2 = 0 Move the constant term to the right: Add '-82.8' to each side of the equation. 82.8 + 14x + -82.8 + x2 = 0 + -82.8 Reorder the terms: 82.8 + -82.8 + 14x + x2 = 0 + -82.8 Combine like terms: 82.8 + -82.8 = 0.0 0.0 + 14x + x2 = 0 + -82.8 14x + x2 = 0 + -82.8 Combine like terms: 0 + -82.8 = -82.8 14x + x2 = -82.8 The x term is 14x. Take half its coefficient (7). Square it (49) and add it to both sides. Add '49' to each side of the equation. 14x + 49 + x2 = -82.8 + 49 Reorder the terms: 49 + 14x + x2 = -82.8 + 49 Combine like terms: -82.8 + 49 = -33.8 49 + 14x + x2 = -33.8 Factor a perfect square on the left side: (x + 7)(x + 7) = -33.8 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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