10x2 - 64 = 36 + 6x2
Combine like terms: 4x2 = 100
Divide both sides by 4: x2 = 25
Take square roots: x = -5 or +5
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10x2 - 64 = 36 + 6x2; whence, 4x2 - 100 = 0, x2 = 25, and x = ±5.
6x2+13x-5 = 0 (2x+5)(3x-1) = 0 x = -5/2 or x = 1/3
6x2 + 11x + 3 = 6x2 + 9x + 2x + 3 = 3x(2x + 3) + 1(2x + 3) = (2x + 3)(3x + 1)
2x(3x + 5)
This doesn't factor neatly. Applying the quadratic equation, we find two imaginary solutions: (-17 plus or minus the square root of -671) divided by 12x = -1.4166 + 2.158638974498103ix = -1.4166 - 2.158638974498103iwhere i is the square root of negative one.