Question

x(2x-3) =4+x (2x-5),solve for x​

Answer 1

Answer:

x(2x-3) = 4+x(2x-5)

2x²-3x = 4+2x²-5x

5x-3x = 4+2x²-2x²

2x = 4

x=4/2

x=2

Answer 2

$\huge\bf{Explanation}$

Given : -

x(2x-3) =4+x (2x-5)

We have to find value of x

x (2x -3 ) = 4 + x(2x-5)

2x²-3x = 4+ 2x² -5x

Transpose RHS terms to LHS

2x² -3x -4 -2x² +5x =0

Putting Like terma together

2x² - 2x² -3x + 5x -4 =0

-3x + 5x -4 =0

2x - 4 = 0

Transpose 4 to RHS

2x = 4

Divide on both sides with 2

2x /2 = 4/2

x = 2

So, the value of x is 2

Verification:-

Substuite value of x to get LHS=RHS

x(2x-3) =4+x (2x-5)

2 (2×2 -3 ) = 4 + 2 (2×2-5)

2 (4-3) = 4 +2(4-5)

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

2 = 4-2

2 = 2

Hence verified

LHS =RHS

___________________

Know more :-

Multiplication of signs:-

(+) × (+) = +

(-) × (-) = +

(+) × (-) = -

(-) × (+) = -

If we multiply With same signs we get positive

If we multiply with opposite signs we get negative