Solve 2^2=5^2+2a*10

$$2 ^ { 2 } = 5 ^ { 2 } + 2 a \times 10$$

Solve for a

$$a = -\frac{21}{20} = -1\frac{1}{20} = -1.05$$

Steps for Solving Linear Equation

Calculate 2 to the power of 2 and get 4.

$$4=5^{2}+2a\times 10$$

Calculate 5 to the power of 2 and get 25.

$$4=25+2a\times 10$$

Multiply 2 and 10 to get 20.

$$4=25+20a$$

Swap sides so that all variable terms are on the left hand side.

$$25+20a=4$$

Subtract 25 from both sides.

$$20a=4-25$$

Subtract 25 from 4 to get -21.

$$20a=-21$$

Divide both sides by 20.

$$a=\frac{-21}{20}$$

Fraction \frac{-21}{20} can be rewritten as -\frac{21}{20} by extracting the negative sign.

$$a=-\frac{21}{20}$$