Solve for x (complex solution)
x\in \mathrm{C}
Solve for x
x\in \mathrm{R}
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\left(6x-2\right)\left(x+\frac{5}{2}\right)=\left(3x-1\right)\left(2x+5\right)
Use the distributive property to multiply 6 by x-\frac{1}{3}.
6x^{2}+13x-5=\left(3x-1\right)\left(2x+5\right)
Use the distributive property to multiply 6x-2 by x+\frac{5}{2} and combine like terms.
6x^{2}+13x-5=6x^{2}+13x-5
Use the distributive property to multiply 3x-1 by 2x+5 and combine like terms.
6x^{2}+13x-5-6x^{2}=13x-5
Subtract 6x^{2} from both sides.
13x-5=13x-5
Combine 6x^{2} and -6x^{2} to get 0.
13x-5-13x=-5
Subtract 13x from both sides.
-5=-5
Combine 13x and -13x to get 0.
\text{true}
Compare -5 and -5.
x\in \mathrm{C}
This is true for any x.
\left(6x-2\right)\left(x+\frac{5}{2}\right)=\left(3x-1\right)\left(2x+5\right)
Use the distributive property to multiply 6 by x-\frac{1}{3}.
6x^{2}+13x-5=\left(3x-1\right)\left(2x+5\right)
Use the distributive property to multiply 6x-2 by x+\frac{5}{2} and combine like terms.
6x^{2}+13x-5=6x^{2}+13x-5
Use the distributive property to multiply 3x-1 by 2x+5 and combine like terms.
6x^{2}+13x-5-6x^{2}=13x-5
Subtract 6x^{2} from both sides.
13x-5=13x-5
Combine 6x^{2} and -6x^{2} to get 0.
13x-5-13x=-5
Subtract 13x from both sides.
-5=-5
Combine 13x and -13x to get 0.
\text{true}
Compare -5 and -5.
x\in \mathrm{R}
This is true for any x.
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Simultaneous equation
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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