# Solve for w 2w^2-10=0 2w2-10=0
Add 10 to both sides of the equation.
2w2=10
Divide each term by 2 and simplify.
Divide each term in 2w2=10 by 2.
2w22=102
Cancel the common factor of 2.
Cancel the common factor.
2w22=102
Divide w2 by 1.
w2=102
w2=102
Divide 10 by 2.
w2=5
w2=5
Take the square root of both sides of the equation to eliminate the exponent on the left side.
w=±5
The complete solution is the result of both the positive and negative portions of the solution.
First, use the positive value of the ± to find the first solution.
w=5
Next, use the negative value of the ± to find the second solution.
w=-5
The complete solution is the result of both the positive and negative portions of the solution.
w=5,-5
w=5,-5
The result can be shown in multiple forms.
Exact Form:
w=5,-5
Decimal Form:
w=2.23606797…,-2.23606797…
Solve for w 2w^2-10=0

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