Solve for x using the Master Product.5, x, squared, plus, 6, x, minus, 8, equals, 05x 2 +6x−8=0

The equation given is a quadratic equation of the form ax^2 + bx + c = 0. In this case, a = 5, b = 6, and c = -8.

The Master Product method involves finding two numbers that multiply to give ac (a times c) and add to give b.

Step 1: Multiply a and c ac = 5 * -8 = -40

Step 2: Find two numbers that multiply to -40 and add to 6. The numbers are 10 and -4 because 10 * -4 = -40 and 10 + -4 = 6.

Step 3: Rewrite the equation by breaking up the middle term using the two numbers found in step 2: 5x^2 + 10x - 4x - 8 = 0

Step 4: Factor by grouping: 5x(x + 2) - 4(x + 2) = 0

Step 5: Since (x + 2) is a common factor, you can factor it out: (x + 2)(5x - 4) = 0

Step 6: Set each factor equal to zero and solve for x: x + 2 = 0 => x = -2 5x - 4 = 0 => x = 4/5

So, the solutions to the equation 5x^2 + 6x - 8 = 0 are x = -2 and x = 4/5.