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Simplifying (4x + -6)(4x + 6) = 0 Reorder the terms: (-6 + 4x)(4x + 6) = 0 Reorder the terms: (-6 + 4x)(6 + 4x) = 0 Multiply (-6 + 4x) * (6 + 4x) (-6(6 + 4x) + 4x * (6 + 4x)) = 0 ((6 * -6 + 4x * -6) + 4x * (6 + 4x)) = 0 ((-36 + -24x) + 4x * (6 + 4x)) = 0 (-36 + -24x + (6 * 4x + 4x * 4x)) = 0 (-36 + -24x + (24x + 16x2)) = 0 Combine like terms: -24x + 24x = 0 (-36 + 0 + 16x2) = 0 (-36 + 16x2) = 0 Solving -36 + 16x2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 16x2 = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 16x2 = 0 + 36 16x2 = 0 + 36 Combine like terms: 0 + 36 = 36 16x2 = 36 Divide each side by '16'. x2 = 2.25 Simplifying x2 = 2.25 Take the square root of each side: x = {-1.5, 1.5}
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