Question

Solve: 5(2x+1)(3x+5)=(15x+25)
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Answer 1

Answer:

$x=-\frac{5}{3}$

Step-by-step explanation:

$5\left(2x+1\right)\left(3x+5\right)=\left(15x+25\right)\\30x^2+65x+25=15x+25\\30x^2+65x+25-25=15x+25-25\\30x^2+65x=15x\\30x^2+65x-15x=15x-15x\\30x^2+50x=0\\x_{1,\:2}=\frac{-50\pm \sqrt{50^2-4\cdot \:30\cdot \:0}}{2\cdot \:30}\\x_{1,\:2}=\frac{-50\pm \:50}{2\cdot \:30}\\x1=-\frac{5}{3} \\x2=0$