Solve using the Square Root Property 2x^2+14x=0

Math
2×2+14x=0
Factor 2x out of 2×2+14x.
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Factor 2x out of 2×2.
2x(x)+14x=0
Factor 2x out of 14x.
2x(x)+2x(7)=0
Factor 2x out of 2x(x)+2x(7).
2x(x+7)=0
2x(x+7)=0
Divide each term by 2 and simplify.
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Divide each term in 2x(x+7)=0 by 2.
2x(x+7)2=02
Simplify 2x(x+7)2.
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Cancel the common factor of 2.
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Cancel the common factor.
2x(x+7)2=02
Divide x(x+7) by 1.
x(x+7)=02
x(x+7)=02
Apply the distributive property.
x⋅x+x⋅7=02
Simplify the expression.
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Multiply x by x.
x2+x⋅7=02
Move 7 to the left of x.
x2+7x=02
x2+7x=02
x2+7x=02
Divide 0 by 2.
x2+7x=0
x2+7x=0
Factor x out of x2+7x.
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Factor x out of x2.
x⋅x+7x=0
Factor x out of 7x.
x⋅x+x⋅7=0
Factor x out of x⋅x+x⋅7.
x(x+7)=0
x(x+7)=0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
x=0
x+7=0
Set the first factor equal to 0.
x=0
Set the next factor equal to 0 and solve.
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Set the next factor equal to 0.
x+7=0
Subtract 7 from both sides of the equation.
x=-7
x=-7
The final solution is all the values that make x(x+7)=0 true.
x=0,-7
Solve using the Square Root Property 2x^2+14x=0

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