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Simplifying (x2 + 64 + 8x) = 9(x + -8) Reorder the terms: (64 + 8x + x2) = 9(x + -8) Remove parenthesis around (64 + 8x + x2) 64 + 8x + x2 = 9(x + -8) Reorder the terms: 64 + 8x + x2 = 9(-8 + x) 64 + 8x + x2 = (-8 * 9 + x * 9) 64 + 8x + x2 = (-72 + 9x) Solving 64 + 8x + x2 = -72 + 9x Solving for variable 'x'. Reorder the terms: 64 + 72 + 8x + -9x + x2 = -72 + 9x + 72 + -9x Combine like terms: 64 + 72 = 136 136 + 8x + -9x + x2 = -72 + 9x + 72 + -9x Combine like terms: 8x + -9x = -1x 136 + -1x + x2 = -72 + 9x + 72 + -9x Reorder the terms: 136 + -1x + x2 = -72 + 72 + 9x + -9x Combine like terms: -72 + 72 = 0 136 + -1x + x2 = 0 + 9x + -9x 136 + -1x + x2 = 9x + -9x Combine like terms: 9x + -9x = 0 136 + -1x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-136' to each side of the equation. 136 + -1x + -136 + x2 = 0 + -136 Reorder the terms: 136 + -136 + -1x + x2 = 0 + -136 Combine like terms: 136 + -136 = 0 0 + -1x + x2 = 0 + -136 -1x + x2 = 0 + -136 Combine like terms: 0 + -136 = -136 -1x + x2 = -136 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 = -136 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -136 + 0.25 Combine like terms: -136 + 0.25 = -135.75 0.25 + -1x + x2 = -135.75 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -135.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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