Question

(2x-3)(5x+2)=x(10x-3)-30​

Answer 1

(2х-3)(5х+2)=х(10х-3)-30

10х^2+4х-15х-6=10х^2-3х-30

4х-15х-6=-3х-30

-11х-6=-3х-30

-8х=-24

Х=3

Answer 2

Let's solve the given equation step by step:

Given equation: (2x - 3)(5x + 2) = x(10x - 3) - 30

First, let's expand the left-hand side of the equation:

(2x - 3)(5x + 2) = 2x * 5x + 2x * 2 - 3 * 5x - 3 * 2 = 10x^2 + 4x - 15x - 6 = 10x^2 - 11x - 6

Now let's simplify the right-hand side of the equation:

x(10x - 3) - 30 = 10x^2 - 3x - 30

So, the given equation becomes: 10x^2 - 11x - 6 = 10x^2 - 3x - 30

Now, let's move all terms to one side of the equation to set it equal to zero:

10x^2 - 11x - 6 - 10x^2 + 3x + 30 = 0

Simplify the equation:

-8x - 6 + 30 = 0

-8x + 24 = 0

Now, isolate x:

-8x = -24

Divide both sides by -8:

x = 3

So, the solution to the equation is x = 3.