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Simplifying 10x2 + -60x + 98 = 0 Reorder the terms: 98 + -60x + 10x2 = 0 Solving 98 + -60x + 10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(49 + -30x + 5x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(49 + -30x + 5x2)' equal to zero and attempt to solve: Simplifying 49 + -30x + 5x2 = 0 Solving 49 + -30x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 9.8 + -6x + x2 = 0 Move the constant term to the right: Add '-9.8' to each side of the equation. 9.8 + -6x + -9.8 + x2 = 0 + -9.8 Reorder the terms: 9.8 + -9.8 + -6x + x2 = 0 + -9.8 Combine like terms: 9.8 + -9.8 = 0.0 0.0 + -6x + x2 = 0 + -9.8 -6x + x2 = 0 + -9.8 Combine like terms: 0 + -9.8 = -9.8 -6x + x2 = -9.8 The x term is -6x. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6x + 9 + x2 = -9.8 + 9 Reorder the terms: 9 + -6x + x2 = -9.8 + 9 Combine like terms: -9.8 + 9 = -0.8 9 + -6x + x2 = -0.8 Factor a perfect square on the left side: (x + -3)(x + -3) = -0.8 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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