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