Question

Solve for 25x2 + 9 = 30x

Answer 1

Answer: $x=\frac{3}{5}$

Step-by-step explanation:

Move all terms to one side.

$25x^2+9-30x=0$

Rewrite $25x^2+9-30x$ in the form $a^2-2ab+b^2$, where $a=5x$ and $b=3$

$(5x)^2-2(5x)(3)+3^2=0$

Use the Square of Difference: $(a-b)^2=a^2-2ab+b^2$

$(5x-3)^2=0$

Take the square root of both sides.

5x-3=0

Add 3 to both sides.

5x=3

Divide both sides by 5.

x= 3/5