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Simplifying 360x2 + 375x + 375 = 0 Reorder the terms: 375 + 375x + 360x2 = 0 Solving 375 + 375x + 360x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '15'. 15(25 + 25x + 24x2) = 0 Ignore the factor 15.Subproblem 1
Set the factor '(25 + 25x + 24x2)' equal to zero and attempt to solve: Simplifying 25 + 25x + 24x2 = 0 Solving 25 + 25x + 24x2 = 0 Begin completing the square. Divide all terms by 24 the coefficient of the squared term: Divide each side by '24'. 1.041666667 + 1.041666667x + x2 = 0 Move the constant term to the right: Add '-1.041666667' to each side of the equation. 1.041666667 + 1.041666667x + -1.041666667 + x2 = 0 + -1.041666667 Reorder the terms: 1.041666667 + -1.041666667 + 1.041666667x + x2 = 0 + -1.041666667 Combine like terms: 1.041666667 + -1.041666667 = 0.000000000 0.000000000 + 1.041666667x + x2 = 0 + -1.041666667 1.041666667x + x2 = 0 + -1.041666667 Combine like terms: 0 + -1.041666667 = -1.041666667 1.041666667x + x2 = -1.041666667 The x term is 1.041666667x. Take half its coefficient (0.5208333335). Square it (0.2712673613) and add it to both sides. Add '0.2712673613' to each side of the equation. 1.041666667x + 0.2712673613 + x2 = -1.041666667 + 0.2712673613 Reorder the terms: 0.2712673613 + 1.041666667x + x2 = -1.041666667 + 0.2712673613 Combine like terms: -1.041666667 + 0.2712673613 = -0.7703993057 0.2712673613 + 1.041666667x + x2 = -0.7703993057 Factor a perfect square on the left side: (x + 0.5208333335)(x + 0.5208333335) = -0.7703993057 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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