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Simplifying 4x2 + 25 = x + 13 Reorder the terms: 25 + 4x2 = x + 13 Reorder the terms: 25 + 4x2 = 13 + x Solving 25 + 4x2 = 13 + x Solving for variable 'x'. Reorder the terms: 25 + -13 + -1x + 4x2 = 13 + x + -13 + -1x Combine like terms: 25 + -13 = 12 12 + -1x + 4x2 = 13 + x + -13 + -1x Reorder the terms: 12 + -1x + 4x2 = 13 + -13 + x + -1x Combine like terms: 13 + -13 = 0 12 + -1x + 4x2 = 0 + x + -1x 12 + -1x + 4x2 = x + -1x Combine like terms: x + -1x = 0 12 + -1x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 3 + -0.25x + x2 = 0 Move the constant term to the right: Add '-3' to each side of the equation. 3 + -0.25x + -3 + x2 = 0 + -3 Reorder the terms: 3 + -3 + -0.25x + x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -0.25x + x2 = 0 + -3 -0.25x + x2 = 0 + -3 Combine like terms: 0 + -3 = -3 -0.25x + x2 = -3 The x term is -0.25x. Take half its coefficient (-0.125). Square it (0.015625) and add it to both sides. Add '0.015625' to each side of the equation. -0.25x + 0.015625 + x2 = -3 + 0.015625 Reorder the terms: 0.015625 + -0.25x + x2 = -3 + 0.015625 Combine like terms: -3 + 0.015625 = -2.984375 0.015625 + -0.25x + x2 = -2.984375 Factor a perfect square on the left side: (x + -0.125)(x + -0.125) = -2.984375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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