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5x^{2}\times 1=0
Multiply x and x to get x^{2}.
5x^{2}=0
Multiply 5 and 1 to get 5.
x^{2}=0
Divide both sides by 5. Zero divided by any non-zero number gives zero.
x=0 x=0
Take the square root of both sides of the equation.
x=0
The equation is now solved. Solutions are the same.
5x^{2}\times 1=0
Multiply x and x to get x^{2}.
5x^{2}=0
Multiply 5 and 1 to get 5.
x^{2}=0
Divide both sides by 5. Zero divided by any non-zero number gives zero.
x=\frac{0±\sqrt{0^{2}}}{2}
This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and 0 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.
x=\frac{0±0}{2}
Take the square root of 0^{2}.
x=0
Divide 0 by 2.