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Simplifying x2 + -21x + 100 = -3x Reorder the terms: 100 + -21x + x2 = -3x Solving 100 + -21x + x2 = -3x Solving for variable 'x'. Reorder the terms: 100 + -21x + 3x + x2 = -3x + 3x Combine like terms: -21x + 3x = -18x 100 + -18x + x2 = -3x + 3x Combine like terms: -3x + 3x = 0 100 + -18x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-100' to each side of the equation. 100 + -18x + -100 + x2 = 0 + -100 Reorder the terms: 100 + -100 + -18x + x2 = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -18x + x2 = 0 + -100 -18x + x2 = 0 + -100 Combine like terms: 0 + -100 = -100 -18x + x2 = -100 The x term is -18x. Take half its coefficient (-9). Square it (81) and add it to both sides. Add '81' to each side of the equation. -18x + 81 + x2 = -100 + 81 Reorder the terms: 81 + -18x + x2 = -100 + 81 Combine like terms: -100 + 81 = -19 81 + -18x + x2 = -19 Factor a perfect square on the left side: (x + -9)(x + -9) = -19 Can't calculate square root of the right side. The solution to this equation could not be determined.
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