Solve T=-1/419^2+4*19+10

$$T = \frac{ -1 }{ 4 } { 19 }^{ 2 } +4 \cdot 19+10$$

Solve for T

$$T = -\frac{17}{4} = -4\frac{1}{4} = -4.25$$

Steps for Solving Linear Equation

Fraction \frac{-1}{4} can be rewritten as -\frac{1}{4} by extracting the negative sign.

$$T=-\frac{1}{4}\times 19^{2}+4\times 19+10$$

Calculate 19 to the power of 2 and get 361.

$$T=-\frac{1}{4}\times 361+4\times 19+10$$

Express -\frac{1}{4}\times 361 as a single fraction.

$$T=\frac{-361}{4}+4\times 19+10$$

Fraction \frac{-361}{4} can be rewritten as -\frac{361}{4} by extracting the negative sign.

$$T=-\frac{361}{4}+4\times 19+10$$

Multiply 4 and 19 to get 76.

$$T=-\frac{361}{4}+76+10$$

Convert 76 to fraction \frac{304}{4}.

$$T=-\frac{361}{4}+\frac{304}{4}+10$$

Since -\frac{361}{4} and \frac{304}{4} have the same denominator, add them by adding their numerators.

$$T=\frac{-361+304}{4}+10$$

Add -361 and 304 to get -57.

$$T=-\frac{57}{4}+10$$

Convert 10 to fraction \frac{40}{4}.

$$T=-\frac{57}{4}+\frac{40}{4}$$

Since -\frac{57}{4} and \frac{40}{4} have the same denominator, add them by adding their numerators.

$$T=\frac{-57+40}{4}$$

Add -57 and 40 to get -17.

$$T=-\frac{17}{4}$$

Assign T

$$T≔-\frac{17}{4}$$