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Simplifying 21 + 1x * 1x = 14 + 1x + 1 * 1x + 1 Reorder the terms for easier multiplication: 21 + 1 * 1x * x = 14 + 1x + 1 * 1x + 1 Multiply 1 * 1 21 + 1x * x = 14 + 1x + 1 * 1x + 1 Multiply x * x 21 + 1x2 = 14 + 1x + 1 * 1x + 1 Multiply 1 * 1 21 + 1x2 = 14 + 1x + 1x + 1 Reorder the terms: 21 + 1x2 = 14 + 1 + 1x + 1x Combine like terms: 14 + 1 = 15 21 + 1x2 = 15 + 1x + 1x Combine like terms: 1x + 1x = 2x 21 + 1x2 = 15 + 2x Solving 21 + 1x2 = 15 + 2x Solving for variable 'x'. Reorder the terms: 21 + -15 + -2x + 1x2 = 15 + 2x + -15 + -2x Combine like terms: 21 + -15 = 6 6 + -2x + 1x2 = 15 + 2x + -15 + -2x Reorder the terms: 6 + -2x + 1x2 = 15 + -15 + 2x + -2x Combine like terms: 15 + -15 = 0 6 + -2x + 1x2 = 0 + 2x + -2x 6 + -2x + 1x2 = 2x + -2x Combine like terms: 2x + -2x = 0 6 + -2x + 1x2 = 0 Begin completing the square. Move the constant term to the right: Add '-6' to each side of the equation. 6 + -2x + -6 + x2 = 0 + -6 Reorder the terms: 6 + -6 + -2x + x2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -2x + x2 = 0 + -6 -2x + x2 = 0 + -6 Combine like terms: 0 + -6 = -6 -2x + x2 = -6 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = -6 + 1 Reorder the terms: 1 + -2x + x2 = -6 + 1 Combine like terms: -6 + 1 = -5 1 + -2x + x2 = -5 Factor a perfect square on the left side: (x + -1)(x + -1) = -5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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