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Simplifying (x + -4)(x + 4) = 35 Reorder the terms: (-4 + x)(x + 4) = 35 Reorder the terms: (-4 + x)(4 + x) = 35 Multiply (-4 + x) * (4 + x) (-4(4 + x) + x(4 + x)) = 35 ((4 * -4 + x * -4) + x(4 + x)) = 35 ((-16 + -4x) + x(4 + x)) = 35 (-16 + -4x + (4 * x + x * x)) = 35 (-16 + -4x + (4x + x2)) = 35 Combine like terms: -4x + 4x = 0 (-16 + 0 + x2) = 35 (-16 + x2) = 35 Solving -16 + x2 = 35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + x2 = 35 + 16 Combine like terms: -16 + 16 = 0 0 + x2 = 35 + 16 x2 = 35 + 16 Combine like terms: 35 + 16 = 51 x2 = 51 Simplifying x2 = 51 Take the square root of each side: x = {-7.141428429, 7.141428429}
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