375⋅4=500⋅x2

Rewrite the equation as 500⋅x2=375⋅4.

500⋅x2=375⋅4

Multiply 375 by 4.

500⋅x2=1500

Divide each term in 500⋅x2=1500 by 500.

500⋅x2500=1500500

Cancel the common factor of 500.

Cancel the common factor.

500⋅x2500=1500500

Divide x2 by 1.

x2=1500500

x2=1500500

Divide 1500 by 500.

x2=3

x2=3

Take the square root of both sides of the equation to eliminate the exponent on the left side.

x=±3

First, use the positive value of the ± to find the first solution.

x=3

Next, use the negative value of the ± to find the second solution.

x=-3

The complete solution is the result of both the positive and negative portions of the solution.

x=3,-3

x=3,-3

The result can be shown in multiple forms.

Exact Form:

x=3,-3

Decimal Form:

x=1.73205080…,-1.73205080…

Solve Using the Square Root Property 375*4=500*x^2