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Simplifying 60x2 + -112x + 3136 = 0 Reorder the terms: 3136 + -112x + 60x2 = 0 Solving 3136 + -112x + 60x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(784 + -28x + 15x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(784 + -28x + 15x2)' equal to zero and attempt to solve: Simplifying 784 + -28x + 15x2 = 0 Solving 784 + -28x + 15x2 = 0 Begin completing the square. Divide all terms by 15 the coefficient of the squared term: Divide each side by '15'. 52.26666667 + -1.866666667x + x2 = 0 Move the constant term to the right: Add '-52.26666667' to each side of the equation. 52.26666667 + -1.866666667x + -52.26666667 + x2 = 0 + -52.26666667 Reorder the terms: 52.26666667 + -52.26666667 + -1.866666667x + x2 = 0 + -52.26666667 Combine like terms: 52.26666667 + -52.26666667 = 0.00000000 0.00000000 + -1.866666667x + x2 = 0 + -52.26666667 -1.866666667x + x2 = 0 + -52.26666667 Combine like terms: 0 + -52.26666667 = -52.26666667 -1.866666667x + x2 = -52.26666667 The x term is -1.866666667x. Take half its coefficient (-0.9333333335). Square it (0.8711111114) and add it to both sides. Add '0.8711111114' to each side of the equation. -1.866666667x + 0.8711111114 + x2 = -52.26666667 + 0.8711111114 Reorder the terms: 0.8711111114 + -1.866666667x + x2 = -52.26666667 + 0.8711111114 Combine like terms: -52.26666667 + 0.8711111114 = -51.3955555586 0.8711111114 + -1.866666667x + x2 = -51.3955555586 Factor a perfect square on the left side: (x + -0.9333333335)(x + -0.9333333335) = -51.3955555586 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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