Question

(2x - 3)(2x + 1) + 35 = 4x (x-5)

Answer 1

x= -2 would be your answer I think

Answer 2

Answer:

$x=-2$

Step-by-step explanation:

Use the distributive property, $a(b+c)=ab+ac$

$(2x - 3)(2x + 1) + 35 = 4x (x-5)\\(2x - 3)(2x + 1) + 35 = (4x)(x)-(4x)(5)\\(2x - 3)(2x + 1) + 35 = 4x^2-20x$

Use the concept of FOIL (First Outer Inner Last ), $(a+b)(c+d)=ac+ad+bc+bd$

$(2x)(2x)+(2x)(1)-(3)(2x)-(3)(1) + 35 = 4x^2-20x\\4x^2+2x-6x-3 + 35 = 4x^2-20x\\-4x+32 = -20x\\-4x+20x=-32\\16x=-32\\x=\dfrac{-32}{16}\\x=-2$