Question

4(x-3)=2x-10 (2,1-0,3x)(45-75x)=0

Answer 1

4x-12=2x-10
4x-2x=12-10
2x=2
x=1

Answer 2

4(x-3)=2x-10

First, distribute the 4 on the left side of the equation: 4x - 12 = 2x - 10

Next, subtract 2x from both sides of the equation: 4x - 2x - 12 = -10

Combine like terms: 2x - 12 = -10

Now, add 12 to both sides of the equation: 2x = 2

Finally, divide both sides by 2: x = 1

(2,1-0,3x)(45-75x)=0

First, distribute the terms: 2.1 - 0.3x - 0.6x + 0.09x^2 - 0.15x^2 = 0

Combine like terms: 2.1 - 0.9x - 0.06x^2 = 0

Rearrange the equation to set it equal to zero: -0.06x^2 - 0.9x + 2.1 = 0

This is a quadratic equation, and we can use the quadratic formula to solve for x: x = (-b ± √(b²-4ac)) / (2a)

where a = -0.06, b = -0.9, and c = 2.1

Plugging these values into the quadratic formula: x = (-(-0.9) ± √((-0.9)² - 4(-0.06)(2.1))) / (2(-0.06)) x = (0.9 ± √(0.81 + 0.504)) / (-0.12) x = (0.9 ± √1.314) / (-0.12)

So the solutions for x are: x = (0.9 + √1.314) / (-0.12) and x = (0.9 - √1.314) / (-0.12)