Solve for y
y=5\left(x-2\right)\left(x+3\right)
Solve for x (complex solution)
x=\frac{\sqrt{20y+625}}{10}-\frac{1}{2}
x=-\frac{\sqrt{20y+625}}{10}-\frac{1}{2}
Solve for x
x=\frac{\sqrt{20y+625}}{10}-\frac{1}{2}
x=-\frac{\sqrt{20y+625}}{10}-\frac{1}{2}\text{, }y\geq -\frac{125}{4}
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y=\left(5x-10\right)\left(x+3\right)
Use the distributive property to multiply 5 by x-2.
y=5x^{2}+5x-30
Use the distributive property to multiply 5x-10 by x+3 and combine like terms.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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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