Answer:
x = -1± sqrt( 33)
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4
Step-by-step explanation:
(2x + 5)= (2x + 3)(2x - 1)
Distribute
2x+5 = 4x^2 +6x-2x-3
Combine like terms
2x+5 = 4x^2 +4x -3
Subtract 2x +5 from each side
0 = 4x^2 +4x-3-2x-5
Combine like terms
0 =4x^2 +2x -8
Using the quadratic formula
a=4 b=2 c=-8
x = -b± sqrt( b^2-4ac)
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2a
x = -2± sqrt( 2^2-4(4)(-8))
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2(4)
x = -2± sqrt( 4+128)
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8
x = -2± sqrt( 132)
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8
x = -2± 2sqrt( 33)
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8
x = -1± sqrt( 33)
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4
