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Simplifying 100x2 + 100x + 1444 = 0 Reorder the terms: 1444 + 100x + 100x2 = 0 Solving 1444 + 100x + 100x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(361 + 25x + 25x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(361 + 25x + 25x2)' equal to zero and attempt to solve: Simplifying 361 + 25x + 25x2 = 0 Solving 361 + 25x + 25x2 = 0 Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. 14.44 + x + x2 = 0 Move the constant term to the right: Add '-14.44' to each side of the equation. 14.44 + x + -14.44 + x2 = 0 + -14.44 Reorder the terms: 14.44 + -14.44 + x + x2 = 0 + -14.44 Combine like terms: 14.44 + -14.44 = 0.00 0.00 + x + x2 = 0 + -14.44 x + x2 = 0 + -14.44 Combine like terms: 0 + -14.44 = -14.44 x + x2 = -14.44 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. + 0.25 + x2 = -14.44 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + x2 = -14.44 + 0.25 Combine like terms: -14.44 + 0.25 = -14.19 1.25 + x2 = -14.19 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -14.19 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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