Solve for x
x=0
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2=2\left(4x^{2}+1\right)
Multiply both sides of the equation by 4x^{2}+1.
2=8x^{2}+2
Use the distributive property to multiply 2 by 4x^{2}+1.
8x^{2}+2=2
Swap sides so that all variable terms are on the left hand side.
8x^{2}=2-2
Subtract 2 from both sides.
8x^{2}=0
Subtract 2 from 2 to get 0.
x^{2}=0
Divide both sides by 8. 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.
2=2\left(4x^{2}+1\right)
Multiply both sides of the equation by 4x^{2}+1.
2=8x^{2}+2
Use the distributive property to multiply 2 by 4x^{2}+1.
8x^{2}+2=2
Swap sides so that all variable terms are on the left hand side.
8x^{2}+2-2=0
Subtract 2 from both sides.
8x^{2}=0
Subtract 2 from 2 to get 0.
x^{2}=0
Divide both sides by 8. 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.
Examples
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y = 3x + 4
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Matrix
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}