Question

Б) 4(3х+0.5)=6х-(3х+4)В) (х-2)²=х(х+2)​

Answer 1

Б) 12х+2= 6х-3х-4

6х+3х+2+4=0

9х+6=0

9х=-6

х= -6/9 или -0,67

В) х^2-4х+4=х^2+2х

-6х+4=0

-6х=-4

х= 4/6 или 0,67

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Answer 2

Let's solve the equations step by step:

A) 4(3x + 0.5) = 6x - (3x + 4)

First, distribute the 4 on the left side: 12x + 2 = 6x - (3x + 4)

Now, remove the parentheses on the right side by distributing the negative sign: 12x + 2 = 6x - 3x - 4

Combine the like terms: 12x + 2 = 3x - 4

Now, let's isolate the x term on one side by moving the constants to the other side: 12x - 3x = -4 - 2

Simplify: 9x = -6

Finally, solve for x by dividing both sides by 9: x = -6 / 9

Reduce the fraction: x = -2/3

So, the solution to the equation is x = -2/3.

B) (x - 2)² = x(x + 2)

First, expand the square on the left side: (x - 2)(x - 2) = x(x + 2)

Apply the FOIL method (First, Outer, Inner, Last) to expand the left side: x^2 - 4x + 4 = x^2 + 2x

Now, move all terms to one side to set the equation to zero: x^2 - 4x + 4 - x^2 - 2x = 0

Simplify the equation: -6x + 4 = 0

Now, move the constant to the other side: -6x = -4

Finally, solve for x by dividing both sides by -6: x = -4 / -6

Reduce the fraction: x = 2/3

So, the solution to the equation is x = 2/3.