0 6x(x-0 5)-0 3x(2x+1 3)=0 38

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Jul 03, 2024

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Solving the Equation: 0.6x(x-0.5) - 0.3x(2x+1.3) = 0.38

In this article, we will solve the given equation 0.6x(x-0.5) - 0.3x(2x+1.3) = 0.38. This equation involves quadratic expressions and requires careful manipulation to arrive at the solution.

Step 1: Expand the Expressions

Let's start by expanding the given expressions:

0.6x(x-0.5) = 0.6x^2 - 0.3x

-0.3x(2x+1.3) = -0.6x^2 - 0.39x

Step 2: Combine Like Terms

Now, let's combine like terms:

0.6x^2 - 0.3x - 0.6x^2 - 0.39x = 0.38

Simplify the equation:

-0.69x = 0.38

Step 3: Isolate x

To solve for x, we can divide both sides of the equation by -0.69:

x = -0.38 / 0.69

x ≈ -0.55

Therefore, the solution to the equation 0.6x(x-0.5) - 0.3x(2x+1.3) = 0.38 is x ≈ -0.55.

In conclusion, by carefully expanding and combining the expressions, we were able to solve the equation and arrive at the solution x ≈ -0.55.