Solve T=-1/415^2+4*15+10

$$T = \frac{ -1 }{ 4 } { 15 }^{ 2 } +4 \cdot 15+10$$

Solve for T

$$T = \frac{55}{4} = 13\frac{3}{4} = 13.75$$

Steps for Solving Linear Equation

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

$$T=-\frac{1}{4}\times 15^{2}+4\times 15+10$$

Calculate 15 to the power of 2 and get 225.

$$T=-\frac{1}{4}\times 225+4\times 15+10$$

Express -\frac{1}{4}\times 225 as a single fraction.

$$T=\frac{-225}{4}+4\times 15+10$$

Fraction \frac{-225}{4} can be rewritten as -\frac{225}{4} by extracting the negative sign.

$$T=-\frac{225}{4}+4\times 15+10$$

Multiply 4 and 15 to get 60.

$$T=-\frac{225}{4}+60+10$$

Convert 60 to fraction \frac{240}{4}.

$$T=-\frac{225}{4}+\frac{240}{4}+10$$

Since -\frac{225}{4} and \frac{240}{4} have the same denominator, add them by adding their numerators.

$$T=\frac{-225+240}{4}+10$$

Add -225 and 240 to get 15.

$$T=\frac{15}{4}+10$$

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

$$T=\frac{15}{4}+\frac{40}{4}$$

Since \frac{15}{4} and \frac{40}{4} have the same denominator, add them by adding their numerators.

$$T=\frac{15+40}{4}$$

Add 15 and 40 to get 55.

$$T=\frac{55}{4}$$

Assign T

$$T≔\frac{55}{4}$$