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Simplifying (x + 3)(x + 3) + -6 = (x + -4)(x + -4) Reorder the terms: (3 + x)(x + 3) + -6 = (x + -4)(x + -4) Reorder the terms: (3 + x)(3 + x) + -6 = (x + -4)(x + -4) Multiply (3 + x) * (3 + x) (3(3 + x) + x(3 + x)) + -6 = (x + -4)(x + -4) ((3 * 3 + x * 3) + x(3 + x)) + -6 = (x + -4)(x + -4) ((9 + 3x) + x(3 + x)) + -6 = (x + -4)(x + -4) (9 + 3x + (3 * x + x * x)) + -6 = (x + -4)(x + -4) (9 + 3x + (3x + x2)) + -6 = (x + -4)(x + -4) Combine like terms: 3x + 3x = 6x (9 + 6x + x2) + -6 = (x + -4)(x + -4) Reorder the terms: 9 + -6 + 6x + x2 = (x + -4)(x + -4) Combine like terms: 9 + -6 = 3 3 + 6x + x2 = (x + -4)(x + -4) Reorder the terms: 3 + 6x + x2 = (-4 + x)(x + -4) Reorder the terms: 3 + 6x + x2 = (-4 + x)(-4 + x) Multiply (-4 + x) * (-4 + x) 3 + 6x + x2 = (-4(-4 + x) + x(-4 + x)) 3 + 6x + x2 = ((-4 * -4 + x * -4) + x(-4 + x)) 3 + 6x + x2 = ((16 + -4x) + x(-4 + x)) 3 + 6x + x2 = (16 + -4x + (-4 * x + x * x)) 3 + 6x + x2 = (16 + -4x + (-4x + x2)) Combine like terms: -4x + -4x = -8x 3 + 6x + x2 = (16 + -8x + x2) Add '-1x2' to each side of the equation. 3 + 6x + x2 + -1x2 = 16 + -8x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 3 + 6x + 0 = 16 + -8x + x2 + -1x2 3 + 6x = 16 + -8x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 3 + 6x = 16 + -8x + 0 3 + 6x = 16 + -8x Solving 3 + 6x = 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. 3 + 6x + 8x = 16 + -8x + 8x Combine like terms: 6x + 8x = 14x 3 + 14x = 16 + -8x + 8x Combine like terms: -8x + 8x = 0 3 + 14x = 16 + 0 3 + 14x = 16 Add '-3' to each side of the equation. 3 + -3 + 14x = 16 + -3 Combine like terms: 3 + -3 = 0 0 + 14x = 16 + -3 14x = 16 + -3 Combine like terms: 16 + -3 = 13 14x = 13 Divide each side by '14'. x = 0.9285714286 Simplifying x = 0.9285714286
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