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.