What is the answer to x(2x-3)=(2x+1)(x-4) ?

The answer to x(2x-3)=(2x+1)(x-4) is x=-1

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x(2x-3)=(2x+1)(x-4)

x (2 x - 3) = (2 x + 1) (x - 4)

x = - 1

Solution steps

x (2 x - 3) = (2 x + 1) (x - 4)

Expand

x (2 x - 3) : 2 x^{2} - 3 x

Expand

(2 x + 1) (x - 4) : 2 x^{2} - 7 x - 4

2 x^{2} - 3 x = 2 x^{2} - 7 x - 4

Subtract

2 x^{2} - 7 x

from both sides

2 x^{2} - 3 x - (2 x^{2} - 7 x) = 2 x^{2} - 7 x - 4 - (2 x^{2} - 7 x)

Simplify

4 x = - 4

Divide both sides by

4

x = - 1

(2 \cdot 5)^{3}

20 z - 5 - 12 z = 10 z + 8

p + 45 = p (p - 3)

x^{3} + 4 x^{2} - 3 x - 14

\frac{( \frac{1}{4} + \frac{1}{2} )}{2}

What is the answer to x(2x-3)=(2x+1)(x-4) ?
The answer to x(2x-3)=(2x+1)(x-4) is x=-1
Solve for x: x(2x-3)=(2x+1)(x-4)
The solution is x=-1