Solve -2.5=a*11^4-0.0458468*11^3+0.0840074*11^2+1.8372727*11

$$- 2.5 = a \times 11 ^ { 4 } - 0.0458468 \times 11 ^ { 3 } + 0.0840074 \times 11 ^ { 2 } + 1.8372727 \times 11$$

Solve for a

$$a=\frac{281471957}{146410000000}\approx 0.001922491$$

Steps for Solving Linear Equation

Calculate 11 to the power of 4 and get 14641.

$$-2.5=a\times 14641-0.0458468\times 11^{3}+0.0840074\times 11^{2}+1.8372727\times 11$$

Calculate 11 to the power of 3 and get 1331.

$$-2.5=a\times 14641-0.0458468\times 1331+0.0840074\times 11^{2}+1.8372727\times 11$$

Multiply 0.0458468 and 1331 to get 61.0220908.

$$-2.5=a\times 14641-61.0220908+0.0840074\times 11^{2}+1.8372727\times 11$$

Calculate 11 to the power of 2 and get 121.

$$-2.5=a\times 14641-61.0220908+0.0840074\times 121+1.8372727\times 11$$

Multiply 0.0840074 and 121 to get 10.1648954.

$$-2.5=a\times 14641-61.0220908+10.1648954+1.8372727\times 11$$

Add -61.0220908 and 10.1648954 to get -50.8571954.

$$-2.5=a\times 14641-50.8571954+1.8372727\times 11$$

Multiply 1.8372727 and 11 to get 20.2099997.

$$-2.5=a\times 14641-50.8571954+20.2099997$$

Add -50.8571954 and 20.2099997 to get -30.6471957.

$$-2.5=a\times 14641-30.6471957$$

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

$$a\times 14641-30.6471957=-2.5$$

Add 30.6471957 to both sides.

$$a\times 14641=-2.5+30.6471957$$

Add -2.5 and 30.6471957 to get 28.1471957.

$$a\times 14641=28.1471957$$

Divide both sides by 14641.

$$a=\frac{28.1471957}{14641}$$

Expand \frac{28.1471957}{14641} by multiplying both numerator and the denominator by 10000000.

$$a=\frac{281471957}{146410000000}$$