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Simplifying 10x2 + -34x + 36 = 0 Reorder the terms: 36 + -34x + 10x2 = 0 Solving 36 + -34x + 10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(18 + -17x + 5x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(18 + -17x + 5x2)' equal to zero and attempt to solve: Simplifying 18 + -17x + 5x2 = 0 Solving 18 + -17x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 3.6 + -3.4x + x2 = 0 Move the constant term to the right: Add '-3.6' to each side of the equation. 3.6 + -3.4x + -3.6 + x2 = 0 + -3.6 Reorder the terms: 3.6 + -3.6 + -3.4x + x2 = 0 + -3.6 Combine like terms: 3.6 + -3.6 = 0.0 0.0 + -3.4x + x2 = 0 + -3.6 -3.4x + x2 = 0 + -3.6 Combine like terms: 0 + -3.6 = -3.6 -3.4x + x2 = -3.6 The x term is -3.4x. Take half its coefficient (-1.7). Square it (2.89) and add it to both sides. Add '2.89' to each side of the equation. -3.4x + 2.89 + x2 = -3.6 + 2.89 Reorder the terms: 2.89 + -3.4x + x2 = -3.6 + 2.89 Combine like terms: -3.6 + 2.89 = -0.71 2.89 + -3.4x + x2 = -0.71 Factor a perfect square on the left side: (x + -1.7)(x + -1.7) = -0.71 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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