Solve for x
x=\frac{5}{14}\approx 0.357142857
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3x^{2}+14x-5=3x^{2}
Use the distributive property to multiply 3x-1 by x+5 and combine like terms.
3x^{2}+14x-5-3x^{2}=0
Subtract 3x^{2} from both sides.
14x-5=0
Combine 3x^{2} and -3x^{2} to get 0.
14x=5
Add 5 to both sides. Anything plus zero gives itself.
x=\frac{5}{14}
Divide both sides by 14.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Linear equation
y = 3x + 4
Arithmetic
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Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
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
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Limits
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