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Simplifying (3x + a)(3x + b) = ab Reorder the terms: (a + 3x)(3x + b) = ab Reorder the terms: (a + 3x)(b + 3x) = ab Multiply (a + 3x) * (b + 3x) (a(b + 3x) + 3x * (b + 3x)) = ab ((b * a + 3x * a) + 3x * (b + 3x)) = ab ((ab + 3ax) + 3x * (b + 3x)) = ab (ab + 3ax + (b * 3x + 3x * 3x)) = ab (ab + 3ax + (3bx + 9x2)) = ab (ab + 3ax + 3bx + 9x2) = ab Add '-1ab' to each side of the equation. ab + 3ax + 3bx + -1ab + 9x2 = ab + -1ab Reorder the terms: ab + -1ab + 3ax + 3bx + 9x2 = ab + -1ab Combine like terms: ab + -1ab = 0 0 + 3ax + 3bx + 9x2 = ab + -1ab 3ax + 3bx + 9x2 = ab + -1ab Combine like terms: ab + -1ab = 0 3ax + 3bx + 9x2 = 0 Solving 3ax + 3bx + 9x2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3bx' to each side of the equation. 3ax + 3bx + -3bx + 9x2 = 0 + -3bx Combine like terms: 3bx + -3bx = 0 3ax + 0 + 9x2 = 0 + -3bx 3ax + 9x2 = 0 + -3bx Remove the zero: 3ax + 9x2 = -3bx Add '-9x2' to each side of the equation. 3ax + 9x2 + -9x2 = -3bx + -9x2 Combine like terms: 9x2 + -9x2 = 0 3ax + 0 = -3bx + -9x2 3ax = -3bx + -9x2 Divide each side by '3x'. a = -1b + -3x Simplifying a = -1b + -3x
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