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Simplifying (4x + -3)(4x + 3) + -2x(8x + -1) = 0 Reorder the terms: (-3 + 4x)(4x + 3) + -2x(8x + -1) = 0 Reorder the terms: (-3 + 4x)(3 + 4x) + -2x(8x + -1) = 0 Multiply (-3 + 4x) * (3 + 4x) (-3(3 + 4x) + 4x * (3 + 4x)) + -2x(8x + -1) = 0 ((3 * -3 + 4x * -3) + 4x * (3 + 4x)) + -2x(8x + -1) = 0 ((-9 + -12x) + 4x * (3 + 4x)) + -2x(8x + -1) = 0 (-9 + -12x + (3 * 4x + 4x * 4x)) + -2x(8x + -1) = 0 (-9 + -12x + (12x + 16x2)) + -2x(8x + -1) = 0 Combine like terms: -12x + 12x = 0 (-9 + 0 + 16x2) + -2x(8x + -1) = 0 (-9 + 16x2) + -2x(8x + -1) = 0 Reorder the terms: -9 + 16x2 + -2x(-1 + 8x) = 0 -9 + 16x2 + (-1 * -2x + 8x * -2x) = 0 -9 + 16x2 + (2x + -16x2) = 0 Reorder the terms: -9 + 2x + 16x2 + -16x2 = 0 Combine like terms: 16x2 + -16x2 = 0 -9 + 2x + 0 = 0 -9 + 2x = 0 Solving -9 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 2x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 2x = 0 + 9 2x = 0 + 9 Combine like terms: 0 + 9 = 9 2x = 9 Divide each side by '2'. x = 4.5 Simplifying x = 4.5
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