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Simplifying 4(x + -2)(x + 2) = 4x2 + -12x + 6 Reorder the terms: 4(-2 + x)(x + 2) = 4x2 + -12x + 6 Reorder the terms: 4(-2 + x)(2 + x) = 4x2 + -12x + 6 Multiply (-2 + x) * (2 + x) 4(-2(2 + x) + x(2 + x)) = 4x2 + -12x + 6 4((2 * -2 + x * -2) + x(2 + x)) = 4x2 + -12x + 6 4((-4 + -2x) + x(2 + x)) = 4x2 + -12x + 6 4(-4 + -2x + (2 * x + x * x)) = 4x2 + -12x + 6 4(-4 + -2x + (2x + x2)) = 4x2 + -12x + 6 Combine like terms: -2x + 2x = 0 4(-4 + 0 + x2) = 4x2 + -12x + 6 4(-4 + x2) = 4x2 + -12x + 6 (-4 * 4 + x2 * 4) = 4x2 + -12x + 6 (-16 + 4x2) = 4x2 + -12x + 6 Reorder the terms: -16 + 4x2 = 6 + -12x + 4x2 Add '-4x2' to each side of the equation. -16 + 4x2 + -4x2 = 6 + -12x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -16 + 0 = 6 + -12x + 4x2 + -4x2 -16 = 6 + -12x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -16 = 6 + -12x + 0 -16 = 6 + -12x Solving -16 = 6 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -16 + 12x = 6 + -12x + 12x Combine like terms: -12x + 12x = 0 -16 + 12x = 6 + 0 -16 + 12x = 6 Add '16' to each side of the equation. -16 + 16 + 12x = 6 + 16 Combine like terms: -16 + 16 = 0 0 + 12x = 6 + 16 12x = 6 + 16 Combine like terms: 6 + 16 = 22 12x = 22 Divide each side by '12'. x = 1.833333333 Simplifying x = 1.833333333
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