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Simplifying 4x2 + 7 = 1.6x Reorder the terms: 7 + 4x2 = 1.6x Solving 7 + 4x2 = 1.6x Solving for variable 'x'. Reorder the terms: 7 + -1.6x + 4x2 = 1.6x + -1.6x Combine like terms: 1.6x + -1.6x = 0.0 7 + -1.6x + 4x2 = 0.0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 1.75 + -0.4x + x2 = 0.0 Move the constant term to the right: Add '-1.75' to each side of the equation. 1.75 + -0.4x + -1.75 + x2 = 0.0 + -1.75 Reorder the terms: 1.75 + -1.75 + -0.4x + x2 = 0.0 + -1.75 Combine like terms: 1.75 + -1.75 = 0.00 0.00 + -0.4x + x2 = 0.0 + -1.75 -0.4x + x2 = 0.0 + -1.75 Combine like terms: 0.0 + -1.75 = -1.75 -0.4x + x2 = -1.75 The x term is -0.4x. Take half its coefficient (-0.2). Square it (0.04) and add it to both sides. Add '0.04' to each side of the equation. -0.4x + 0.04 + x2 = -1.75 + 0.04 Reorder the terms: 0.04 + -0.4x + x2 = -1.75 + 0.04 Combine like terms: -1.75 + 0.04 = -1.71 0.04 + -0.4x + x2 = -1.71 Factor a perfect square on the left side: (x + -0.2)(x + -0.2) = -1.71 Can't calculate square root of the right side. The solution to this equation could not be determined.
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