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Simplifying (x * x) + 25 = 20 + x Multiply x * x (x2) + 25 = 20 + x x2 + 25 = 20 + x Reorder the terms: 25 + x2 = 20 + x Solving 25 + x2 = 20 + x Solving for variable 'x'. Reorder the terms: 25 + -20 + -1x + x2 = 20 + x + -20 + -1x Combine like terms: 25 + -20 = 5 5 + -1x + x2 = 20 + x + -20 + -1x Reorder the terms: 5 + -1x + x2 = 20 + -20 + x + -1x Combine like terms: 20 + -20 = 0 5 + -1x + x2 = 0 + x + -1x 5 + -1x + x2 = x + -1x Combine like terms: x + -1x = 0 5 + -1x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-5' to each side of the equation. 5 + -1x + -5 + x2 = 0 + -5 Reorder the terms: 5 + -5 + -1x + x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x + x2 = 0 + -5 -1x + x2 = 0 + -5 Combine like terms: 0 + -5 = -5 -1x + x2 = -5 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 = -5 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -5 + 0.25 Combine like terms: -5 + 0.25 = -4.75 0.25 + -1x + x2 = -4.75 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -4.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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