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Simplifying (2x + a)(3x2 + b) = 0 Reorder the terms: (a + 2x)(3x2 + b) = 0 Reorder the terms: (a + 2x)(b + 3x2) = 0 Multiply (a + 2x) * (b + 3x2) (a(b + 3x2) + 2x * (b + 3x2)) = 0 ((b * a + 3x2 * a) + 2x * (b + 3x2)) = 0 ((ab + 3ax2) + 2x * (b + 3x2)) = 0 (ab + 3ax2 + (b * 2x + 3x2 * 2x)) = 0 (ab + 3ax2 + (2bx + 6x3)) = 0 (ab + 3ax2 + 2bx + 6x3) = 0 Solving ab + 3ax2 + 2bx + 6x3 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2bx' to each side of the equation. ab + 3ax2 + 2bx + -2bx + 6x3 = 0 + -2bx Combine like terms: 2bx + -2bx = 0 ab + 3ax2 + 0 + 6x3 = 0 + -2bx ab + 3ax2 + 6x3 = 0 + -2bx Remove the zero: ab + 3ax2 + 6x3 = -2bx Add '-6x3' to each side of the equation. ab + 3ax2 + 6x3 + -6x3 = -2bx + -6x3 Combine like terms: 6x3 + -6x3 = 0 ab + 3ax2 + 0 = -2bx + -6x3 ab + 3ax2 = -2bx + -6x3 Reorder the terms: ab + 3ax2 + 2bx + 6x3 = -2bx + 2bx + -6x3 + 6x3 Combine like terms: -2bx + 2bx = 0 ab + 3ax2 + 2bx + 6x3 = 0 + -6x3 + 6x3 ab + 3ax2 + 2bx + 6x3 = -6x3 + 6x3 Combine like terms: -6x3 + 6x3 = 0 ab + 3ax2 + 2bx + 6x3 = 0 The solution to this equation could not be determined.
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