[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{25x^2=49}[/tex]
[tex]\textsf{DIVIDE by 25 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{25x^2}{25}=\dfrac{49}{25}}[/tex]
[tex]\textsf{Cancel out: }\mathsf{\dfrac{25}{25}}\textsf{ because it gives you 1}[/tex]
[tex]\textsf{Keep: }\mathsf{\dfrac{49}{25}}\textsf{ because it helps us solve for x}[/tex]
[tex]\textsf{New equation: }\mathsf{x^2 = \dfrac{49}{25}}[/tex]
[tex]\textsf{TAKE the SQUARE ROOT}[/tex]
[tex]\mathsf{x\pm \sqrt{\dfrac{49}{25}}}[/tex]
[tex]\mathsf{\sqrt{\dfrac{49}{25}}= 1.4}[/tex]
[tex]\mathsf{- \sqrt{\dfrac{49}{25}}= -1.4}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \huge \bf x = 1.4 or x = -1.4}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]