Solve 1.5*10^5+0.5*10^3*5^2+10^5=x+0.5*{10}^3*{2.5}^2

$$1.5 \times { 10 }^{ 5 } +0.5 \times { 10 }^{ 3 } \times { 5 }^{ 2 } + { 10 }^{ 5 } =x+0.5 \times { 10 }^{ 3 } \times { 2.5 }^{ 2 }$$

Solve for x

$$x=259375$$

Steps for Solving Linear Equation

Calculate 10 to the power of 5 and get 100000.

$$1.5\times 100000+0.5\times 10^{3}\times 5^{2}+10^{5}=x+0.5\times 10^{3}\times 2.5^{2}$$

Multiply 1.5 and 100000 to get 150000.

$$150000+0.5\times 10^{3}\times 5^{2}+10^{5}=x+0.5\times 10^{3}\times 2.5^{2}$$

Calculate 10 to the power of 3 and get 1000.

$$150000+0.5\times 1000\times 5^{2}+10^{5}=x+0.5\times 10^{3}\times 2.5^{2}$$

Multiply 0.5 and 1000 to get 500.

$$150000+500\times 5^{2}+10^{5}=x+0.5\times 10^{3}\times 2.5^{2}$$

Calculate 5 to the power of 2 and get 25.

$$150000+500\times 25+10^{5}=x+0.5\times 10^{3}\times 2.5^{2}$$

Multiply 500 and 25 to get 12500.

$$150000+12500+10^{5}=x+0.5\times 10^{3}\times 2.5^{2}$$

Add 150000 and 12500 to get 162500.

$$162500+10^{5}=x+0.5\times 10^{3}\times 2.5^{2}$$

Calculate 10 to the power of 5 and get 100000.

$$162500+100000=x+0.5\times 10^{3}\times 2.5^{2}$$

Add 162500 and 100000 to get 262500.

$$262500=x+0.5\times 10^{3}\times 2.5^{2}$$

Calculate 10 to the power of 3 and get 1000.

$$262500=x+0.5\times 1000\times 2.5^{2}$$

Multiply 0.5 and 1000 to get 500.

$$262500=x+500\times 2.5^{2}$$

Calculate 2.5 to the power of 2 and get 6.25.

$$262500=x+500\times 6.25$$

Multiply 500 and 6.25 to get 3125.

$$262500=x+3125$$

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

$$x+3125=262500$$

Subtract 3125 from both sides.

$$x=262500-3125$$

Subtract 3125 from 262500 to get 259375.

$$x=259375$$