Question

2x В квадрате +3x=xВ квадрате

Answer 1

2х² +3х = х²
2х² + 3х -  х²  = 0
х² + 3х  = 0
х * х  + х * 3 = 0
х*(х+3) = 0
произведение  = 0, если один из множителей  =0
х₁=0
х+3=0
х₂=-3

Answer 2

To solve the equation 2x^2 + 3x = x^2, you need to bring all the terms to one side of the equation and then factor or solve for x.

Step 1: Move all terms to one side of the equation: 2x^2 + 3x - x^2 = 0

Step 2: Combine like terms: x^2 + 3x = 0

Step 3: Factor out the common term 'x': x(x + 3) = 0

Step 4: Use the zero-product property to find the possible solutions for x: Setting each factor to zero: x = 0 or x + 3 = 0

Step 5: Solve for x:

1. If x = 0, this is one solution.
2. If x + 3 = 0, then x = -3, which is the second solution.

So, the two solutions to the equation are x = 0 and x = -3.