4x2-4x-3=0 can be written as (2x-3)(2x+1)=0
Anything times by 0 equals 0 ( the zero property of multiplication) therefore we need to make each one of these terms in brackets equal to 0.
so 2x-3=0 giving x=3/2
and 2x+1=0 giving x=-1/2
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That doesn't factor neatly. Applying the quadratic formula, we find two imaginary solutions: (-7 plus or minus i times the square root of 23) divided by -3x = 2.3333333333333335 + -1.5986105077709063ix = 2.3333333333333335 - -1.5986105077709063iwhere i is the square root of negative 1
That doesn't factor neatly. Applying the quadratic formula, we find two real solutions: 3 plus or minus -1.75 times the square root of 3 t = -0.0310889132455352 t = 6.0310889132455352
(x + 5)(x + 5)
-(h - 4)(h + 8)
Remember to factor out the GCF of the coefficients if there is one. A perfect square binomial will always follow the pattern a squared plus or minus 2ab plus b squared. If it's plus 2ab, that factors to (a + b)(a + b) If it's minus 2ab, that factors to (a - b)(a - b)