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info@snapandsolve.comFirst, expand the equation: (4x + 3)(x - 6) = 9.
This gives: 4x^2 - 24x + 3x - 18 = 9.
Simplify to: 4x^2 - 21x - 18 = 9.
Subtract 9 from both sides: 4x^2 - 21x - 27 = 0.
Use the quadratic formula: x = [-b ± sqrt(b^2 - 4ac)] / 2a, where a = 4, b = -21, c = -27.
Calculate the discriminant: b^2 - 4ac = (-21)^2 - 4(4)(-27) = 441 + 432 = 873.
Since the discriminant is positive, there are two real solutions.
Calculate the solutions: x = [21 ± sqrt(873)] / 8.
Approximate the solutions: x ≈ 5.61, x ≈ -1.21.
Therefore, the solutions are approximately x = 5.61, -1.21.
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