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Simplifying (3x + -4)(3x + 4) = 9x2 + 6x + -4 Reorder the terms: (-4 + 3x)(3x + 4) = 9x2 + 6x + -4 Reorder the terms: (-4 + 3x)(4 + 3x) = 9x2 + 6x + -4 Multiply (-4 + 3x) * (4 + 3x) (-4(4 + 3x) + 3x * (4 + 3x)) = 9x2 + 6x + -4 ((4 * -4 + 3x * -4) + 3x * (4 + 3x)) = 9x2 + 6x + -4 ((-16 + -12x) + 3x * (4 + 3x)) = 9x2 + 6x + -4 (-16 + -12x + (4 * 3x + 3x * 3x)) = 9x2 + 6x + -4 (-16 + -12x + (12x + 9x2)) = 9x2 + 6x + -4 Combine like terms: -12x + 12x = 0 (-16 + 0 + 9x2) = 9x2 + 6x + -4 (-16 + 9x2) = 9x2 + 6x + -4 Reorder the terms: -16 + 9x2 = -4 + 6x + 9x2 Add '-9x2' to each side of the equation. -16 + 9x2 + -9x2 = -4 + 6x + 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 -16 + 0 = -4 + 6x + 9x2 + -9x2 -16 = -4 + 6x + 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 -16 = -4 + 6x + 0 -16 = -4 + 6x Solving -16 = -4 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -16 + -6x = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 -16 + -6x = -4 + 0 -16 + -6x = -4 Add '16' to each side of the equation. -16 + 16 + -6x = -4 + 16 Combine like terms: -16 + 16 = 0 0 + -6x = -4 + 16 -6x = -4 + 16 Combine like terms: -4 + 16 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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