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Simplifying 85x2 + 1 = 4x Reorder the terms: 1 + 85x2 = 4x Solving 1 + 85x2 = 4x Solving for variable 'x'. Reorder the terms: 1 + -4x + 85x2 = 4x + -4x Combine like terms: 4x + -4x = 0 1 + -4x + 85x2 = 0 Begin completing the square. Divide all terms by 85 the coefficient of the squared term: Divide each side by '85'. 0.01176470588 + -0.04705882353x + x2 = 0 Move the constant term to the right: Add '-0.01176470588' to each side of the equation. 0.01176470588 + -0.04705882353x + -0.01176470588 + x2 = 0 + -0.01176470588 Reorder the terms: 0.01176470588 + -0.01176470588 + -0.04705882353x + x2 = 0 + -0.01176470588 Combine like terms: 0.01176470588 + -0.01176470588 = 0.00000000000 0.00000000000 + -0.04705882353x + x2 = 0 + -0.01176470588 -0.04705882353x + x2 = 0 + -0.01176470588 Combine like terms: 0 + -0.01176470588 = -0.01176470588 -0.04705882353x + x2 = -0.01176470588 The x term is -0.04705882353x. Take half its coefficient (-0.02352941177). Square it (0.0005536332182) and add it to both sides. Add '0.0005536332182' to each side of the equation. -0.04705882353x + 0.0005536332182 + x2 = -0.01176470588 + 0.0005536332182 Reorder the terms: 0.0005536332182 + -0.04705882353x + x2 = -0.01176470588 + 0.0005536332182 Combine like terms: -0.01176470588 + 0.0005536332182 = -0.0112110726618 0.0005536332182 + -0.04705882353x + x2 = -0.0112110726618 Factor a perfect square on the left side: (x + -0.02352941177)(x + -0.02352941177) = -0.0112110726618 Can't calculate square root of the right side. The solution to this equation could not be determined.
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