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10x^{2}-15x=10\left(x-\frac{3}{2}\right)x Factor the original expression using ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right). Substitute \frac{3}{2} for x_{1} and 0 for x_{2}.

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Apply exponent rule: a b + c = a b a c x 2 = xx = 10 xx − 15 x Rewrite 10 as 5 ⋅ 2 Rewrite 15 as 5 ⋅ 3 = 5 ⋅ 2 xx − 5 ⋅ 3 x Factor out common term 5 x = 5 x ( 2 x − 3 )

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Solve linear equation with one unknown 10x-15=15x: Tiger Algebra not only solves linear equations with one unknown 10x-15=15x, but its clear, step-by-step explanation of the solution helps to better understand and remember the method