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Simplifying 16x2 + -30x + 20 = 0 Reorder the terms: 20 + -30x + 16x2 = 0 Solving 20 + -30x + 16x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(10 + -15x + 8x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(10 + -15x + 8x2)' equal to zero and attempt to solve: Simplifying 10 + -15x + 8x2 = 0 Solving 10 + -15x + 8x2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 1.25 + -1.875x + x2 = 0 Move the constant term to the right: Add '-1.25' to each side of the equation. 1.25 + -1.875x + -1.25 + x2 = 0 + -1.25 Reorder the terms: 1.25 + -1.25 + -1.875x + x2 = 0 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + -1.875x + x2 = 0 + -1.25 -1.875x + x2 = 0 + -1.25 Combine like terms: 0 + -1.25 = -1.25 -1.875x + x2 = -1.25 The x term is -1.875x. Take half its coefficient (-0.9375). Square it (0.87890625) and add it to both sides. Add '0.87890625' to each side of the equation. -1.875x + 0.87890625 + x2 = -1.25 + 0.87890625 Reorder the terms: 0.87890625 + -1.875x + x2 = -1.25 + 0.87890625 Combine like terms: -1.25 + 0.87890625 = -0.37109375 0.87890625 + -1.875x + x2 = -0.37109375 Factor a perfect square on the left side: (x + -0.9375)(x + -0.9375) = -0.37109375 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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