What is the answer to (3x-5)(x-2)=3x^2-15x+34 ?

The answer to (3x-5)(x-2)=3x^2-15x+34 is x=6

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(3x-5)(x-2)=3x^2-15x+34

(3 x - 5) (x - 2) = 3 x^{2} - 15 x + 34

x = 6

Solution steps

(3 x - 5) (x - 2) = 3 x^{2} - 15 x + 34

Expand

(3 x - 5) (x - 2) : 3 x^{2} - 11 x + 10

3 x^{2} - 11 x + 10 = 3 x^{2} - 15 x + 34

Move

10

to the right side

3 x^{2} - 11 x = 3 x^{2} - 15 x + 24

Subtract

3 x^{2} - 15 x

from both sides

3 x^{2} - 11 x - (3 x^{2} - 15 x) = 3 x^{2} - 15 x + 24 - (3 x^{2} - 15 x)

Simplify

4 x = 24

Divide both sides by

4

x = 6

(x - 8)^{2} = (x - 6)^{2}

10 - 4 x = 7 - 6 x

x, w = \frac{3}{5} x + 2

x, x - 4 y = 0

x, 7 x + 2 y = 14

What is the answer to (3x-5)(x-2)=3x^2-15x+34 ?
The answer to (3x-5)(x-2)=3x^2-15x+34 is x=6
Solve for x: (3x-5)(x-2)=3x^2-15x+34
The solution is x=6