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Simplifying x2 = (x + 4)(x + 4) + 8x Reorder the terms: x2 = (4 + x)(x + 4) + 8x Reorder the terms: x2 = (4 + x)(4 + x) + 8x Multiply (4 + x) * (4 + x) x2 = (4(4 + x) + x(4 + x)) + 8x x2 = ((4 * 4 + x * 4) + x(4 + x)) + 8x x2 = ((16 + 4x) + x(4 + x)) + 8x x2 = (16 + 4x + (4 * x + x * x)) + 8x x2 = (16 + 4x + (4x + x2)) + 8x Combine like terms: 4x + 4x = 8x x2 = (16 + 8x + x2) + 8x Reorder the terms: x2 = 16 + 8x + 8x + x2 Combine like terms: 8x + 8x = 16x x2 = 16 + 16x + x2 Add '-1x2' to each side of the equation. x2 + -1x2 = 16 + 16x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 16 + 16x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 16 + 16x + 0 0 = 16 + 16x Solving 0 = 16 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 0 + -16x = 16 + 16x + -16x Remove the zero: -16x = 16 + 16x + -16x Combine like terms: 16x + -16x = 0 -16x = 16 + 0 -16x = 16 Divide each side by '-16'. x = -1 Simplifying x = -1
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