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Simplifying (x + -3)(ax + 4) = 0 Reorder the terms: (-3 + x)(ax + 4) = 0 Reorder the terms: (-3 + x)(4 + ax) = 0 Multiply (-3 + x) * (4 + ax) (-3(4 + ax) + x(4 + ax)) = 0 ((4 * -3 + ax * -3) + x(4 + ax)) = 0 ((-12 + -3ax) + x(4 + ax)) = 0 (-12 + -3ax + (4 * x + ax * x)) = 0 Reorder the terms: (-12 + -3ax + (ax2 + 4x)) = 0 (-12 + -3ax + (ax2 + 4x)) = 0 (-12 + -3ax + ax2 + 4x) = 0 Solving -12 + -3ax + ax2 + 4x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12' to each side of the equation. -12 + -3ax + ax2 + 12 + 4x = 0 + 12 Reorder the terms: -12 + 12 + -3ax + ax2 + 4x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -3ax + ax2 + 4x = 0 + 12 -3ax + ax2 + 4x = 0 + 12 Combine like terms: 0 + 12 = 12 -3ax + ax2 + 4x = 12 Add '-4x' to each side of the equation. -3ax + ax2 + 4x + -4x = 12 + -4x Combine like terms: 4x + -4x = 0 -3ax + ax2 + 0 = 12 + -4x -3ax + ax2 = 12 + -4x Reorder the terms: -12 + -3ax + ax2 + 4x = 12 + -4x + -12 + 4x Reorder the terms: -12 + -3ax + ax2 + 4x = 12 + -12 + -4x + 4x Combine like terms: 12 + -12 = 0 -12 + -3ax + ax2 + 4x = 0 + -4x + 4x -12 + -3ax + ax2 + 4x = -4x + 4x Combine like terms: -4x + 4x = 0 -12 + -3ax + ax2 + 4x = 0 The solution to this equation could not be determined.
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