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Simplifying 50x2 + -78x + 270 = 0 Reorder the terms: 270 + -78x + 50x2 = 0 Solving 270 + -78x + 50x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(135 + -39x + 25x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(135 + -39x + 25x2)' equal to zero and attempt to solve: Simplifying 135 + -39x + 25x2 = 0 Solving 135 + -39x + 25x2 = 0 Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. 5.4 + -1.56x + x2 = 0 Move the constant term to the right: Add '-5.4' to each side of the equation. 5.4 + -1.56x + -5.4 + x2 = 0 + -5.4 Reorder the terms: 5.4 + -5.4 + -1.56x + x2 = 0 + -5.4 Combine like terms: 5.4 + -5.4 = 0.0 0.0 + -1.56x + x2 = 0 + -5.4 -1.56x + x2 = 0 + -5.4 Combine like terms: 0 + -5.4 = -5.4 -1.56x + x2 = -5.4 The x term is -1.56x. Take half its coefficient (-0.78). Square it (0.6084) and add it to both sides. Add '0.6084' to each side of the equation. -1.56x + 0.6084 + x2 = -5.4 + 0.6084 Reorder the terms: 0.6084 + -1.56x + x2 = -5.4 + 0.6084 Combine like terms: -5.4 + 0.6084 = -4.7916 0.6084 + -1.56x + x2 = -4.7916 Factor a perfect square on the left side: (x + -0.78)(x + -0.78) = -4.7916 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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