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Simplifying x2 + -3x + 49 = (x + 4)(x + 4) Reorder the terms: 49 + -3x + x2 = (x + 4)(x + 4) Reorder the terms: 49 + -3x + x2 = (4 + x)(x + 4) Reorder the terms: 49 + -3x + x2 = (4 + x)(4 + x) Multiply (4 + x) * (4 + x) 49 + -3x + x2 = (4(4 + x) + x(4 + x)) 49 + -3x + x2 = ((4 * 4 + x * 4) + x(4 + x)) 49 + -3x + x2 = ((16 + 4x) + x(4 + x)) 49 + -3x + x2 = (16 + 4x + (4 * x + x * x)) 49 + -3x + x2 = (16 + 4x + (4x + x2)) Combine like terms: 4x + 4x = 8x 49 + -3x + x2 = (16 + 8x + x2) Add '-1x2' to each side of the equation. 49 + -3x + x2 + -1x2 = 16 + 8x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 49 + -3x + 0 = 16 + 8x + x2 + -1x2 49 + -3x = 16 + 8x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 49 + -3x = 16 + 8x + 0 49 + -3x = 16 + 8x Solving 49 + -3x = 16 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 49 + -3x + -8x = 16 + 8x + -8x Combine like terms: -3x + -8x = -11x 49 + -11x = 16 + 8x + -8x Combine like terms: 8x + -8x = 0 49 + -11x = 16 + 0 49 + -11x = 16 Add '-49' to each side of the equation. 49 + -49 + -11x = 16 + -49 Combine like terms: 49 + -49 = 0 0 + -11x = 16 + -49 -11x = 16 + -49 Combine like terms: 16 + -49 = -33 -11x = -33 Divide each side by '-11'. x = 3 Simplifying x = 3
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