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64\times 4=xx
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 64x, the least common multiple of x,64.
64\times 4=x^{2}
Multiply x and x to get x^{2}.
256=x^{2}
Multiply 64 and 4 to get 256.
x^{2}=256
Swap sides so that all variable terms are on the left hand side.
x=16 x=-16
Take the square root of both sides of the equation.
64\times 4=xx
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 64x, the least common multiple of x,64.
64\times 4=x^{2}
Multiply x and x to get x^{2}.
256=x^{2}
Multiply 64 and 4 to get 256.
x^{2}=256
Swap sides so that all variable terms are on the left hand side.
x^{2}-256=0
Subtract 256 from both sides.
x=\frac{0±\sqrt{0^{2}-4\left(-256\right)}}{2}
This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -256 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.
x=\frac{0±\sqrt{-4\left(-256\right)}}{2}
Square 0.
x=\frac{0±\sqrt{1024}}{2}
Multiply -4 times -256.
x=\frac{0±32}{2}
Take the square root of 1024.
x=16
Now solve the equation x=\frac{0±32}{2} when ± is plus. Divide 32 by 2.
x=-16
Now solve the equation x=\frac{0±32}{2} when ± is minus. Divide -32 by 2.
x=16 x=-16
The equation is now solved.