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Simplifying x2 + -15x + 4 = x + -64 Reorder the terms: 4 + -15x + x2 = x + -64 Reorder the terms: 4 + -15x + x2 = -64 + x Solving 4 + -15x + x2 = -64 + x Solving for variable 'x'. Reorder the terms: 4 + 64 + -15x + -1x + x2 = -64 + x + 64 + -1x Combine like terms: 4 + 64 = 68 68 + -15x + -1x + x2 = -64 + x + 64 + -1x Combine like terms: -15x + -1x = -16x 68 + -16x + x2 = -64 + x + 64 + -1x Reorder the terms: 68 + -16x + x2 = -64 + 64 + x + -1x Combine like terms: -64 + 64 = 0 68 + -16x + x2 = 0 + x + -1x 68 + -16x + x2 = x + -1x Combine like terms: x + -1x = 0 68 + -16x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-68' to each side of the equation. 68 + -16x + -68 + x2 = 0 + -68 Reorder the terms: 68 + -68 + -16x + x2 = 0 + -68 Combine like terms: 68 + -68 = 0 0 + -16x + x2 = 0 + -68 -16x + x2 = 0 + -68 Combine like terms: 0 + -68 = -68 -16x + x2 = -68 The x term is -16x. Take half its coefficient (-8). Square it (64) and add it to both sides. Add '64' to each side of the equation. -16x + 64 + x2 = -68 + 64 Reorder the terms: 64 + -16x + x2 = -68 + 64 Combine like terms: -68 + 64 = -4 64 + -16x + x2 = -4 Factor a perfect square on the left side: (x + -8)(x + -8) = -4 Can't calculate square root of the right side. The solution to this equation could not be determined.
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