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Simplifying 4x = 4x2 + 7 Reorder the terms: 4x = 7 + 4x2 Solving 4x = 7 + 4x2 Solving for variable 'x'. Reorder the terms: -7 + 4x + -4x2 = 7 + 4x2 + -7 + -4x2 Reorder the terms: -7 + 4x + -4x2 = 7 + -7 + 4x2 + -4x2 Combine like terms: 7 + -7 = 0 -7 + 4x + -4x2 = 0 + 4x2 + -4x2 -7 + 4x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -7 + 4x + -4x2 = 0 Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. 1.75 + -1x + x2 = 0 Move the constant term to the right: Add '-1.75' to each side of the equation. 1.75 + -1x + -1.75 + x2 = 0 + -1.75 Reorder the terms: 1.75 + -1.75 + -1x + x2 = 0 + -1.75 Combine like terms: 1.75 + -1.75 = 0.00 0.00 + -1x + x2 = 0 + -1.75 -1x + x2 = 0 + -1.75 Combine like terms: 0 + -1.75 = -1.75 -1x + x2 = -1.75 The x term is -1x. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1x + 0.25 + x2 = -1.75 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -1.75 + 0.25 Combine like terms: -1.75 + 0.25 = -1.5 0.25 + -1x + x2 = -1.5 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -1.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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