0 6x(x-0 5)-0 3x(2x+1 3)=0 138

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Jul 03, 2024

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Solving the Equation: 0.6x(x-0.5) - 0.3x(2x+1.3) = 0.138

In this article, we will solve the given equation:

0.6x(x-0.5) - 0.3x(2x+1.3) = 0.138

To solve this equation, we need to start by expanding the brackets.

Step 1: Expand the Brackets

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

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

Now, substitute these expressions back into the original equation:

0.6x^2 - 0.3x - (0.6x^2 + 0.39x) = 0.138

Step 2: Simplify the Equation

Combine like terms:

-0.69x = 0.138

Step 3: Solve for x

Divide both sides by -0.69:

x = -0.138 / -0.69

x ≈ 0.20

Therefore, the solution to the equation is x ≈ 0.20.