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Simplifying 0 = 50x2 + -16x + 2 Reorder the terms: 0 = 2 + -16x + 50x2 Solving 0 = 2 + -16x + 50x2 Solving for variable 'x'. Combine like terms: 0 + -2 = -2 -2 + 16x + -50x2 = 2 + -16x + 50x2 + -2 + 16x + -50x2 Reorder the terms: -2 + 16x + -50x2 = 2 + -2 + -16x + 16x + 50x2 + -50x2 Combine like terms: 2 + -2 = 0 -2 + 16x + -50x2 = 0 + -16x + 16x + 50x2 + -50x2 -2 + 16x + -50x2 = -16x + 16x + 50x2 + -50x2 Combine like terms: -16x + 16x = 0 -2 + 16x + -50x2 = 0 + 50x2 + -50x2 -2 + 16x + -50x2 = 50x2 + -50x2 Combine like terms: 50x2 + -50x2 = 0 -2 + 16x + -50x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + 8x + -25x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + 8x + -25x2)' equal to zero and attempt to solve: Simplifying -1 + 8x + -25x2 = 0 Solving -1 + 8x + -25x2 = 0 Begin completing the square. Divide all terms by -25 the coefficient of the squared term: Divide each side by '-25'. 0.04 + -0.32x + x2 = 0 Move the constant term to the right: Add '-0.04' to each side of the equation. 0.04 + -0.32x + -0.04 + x2 = 0 + -0.04 Reorder the terms: 0.04 + -0.04 + -0.32x + x2 = 0 + -0.04 Combine like terms: 0.04 + -0.04 = 0.00 0.00 + -0.32x + x2 = 0 + -0.04 -0.32x + x2 = 0 + -0.04 Combine like terms: 0 + -0.04 = -0.04 -0.32x + x2 = -0.04 The x term is -0.32x. Take half its coefficient (-0.16). Square it (0.0256) and add it to both sides. Add '0.0256' to each side of the equation. -0.32x + 0.0256 + x2 = -0.04 + 0.0256 Reorder the terms: 0.0256 + -0.32x + x2 = -0.04 + 0.0256 Combine like terms: -0.04 + 0.0256 = -0.0144 0.0256 + -0.32x + x2 = -0.0144 Factor a perfect square on the left side: (x + -0.16)(x + -0.16) = -0.0144 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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