Answer:
Explanation:
To solve the equation 6x² - 8x = 10 by factoring, we need to rewrite the equation in the form of ax² + bx + c = 0.
First, let's move all terms to one side of the equation: 6x² - 8x - 10 = 0
Next, we can factor out a common factor from the equation: 2(3x² - 4x - 5) = 0
Now, we need to factor the quadratic expression inside the parentheses: 2(3x + 1)(x - 5) = 0
Now, we can set each factor equal to zero and solve for x: 3x + 1 = 0 or x - 5 = 0
For 3x + 1 = 0: 3x = -1 x = -1/3
For x - 5 = 0: x = 5
Therefore, the solutions to the equation 6x² - 8x = 10 are x = -1/3 and x = 5.