(x-1)%3D-6-standard-form.jpeg "(2x+5)(x-1)=-6 Standard Form")
Solving the Equation (2x + 5)(x - 1) = -6
This equation involves a product of two binomials set equal to a constant. To solve it, we need to follow these steps:
1. Expand the product:
First, we expand the left side of the equation using the distributive property (or FOIL method):
(2x + 5)(x - 1) = 2x² - 2x + 5x - 5
Simplifying, we get:
2x² + 3x - 5 = -6
2. Move the constant term to the left side:
To get the equation in standard form, we need to move the constant term (-6) to the left side:
2x² + 3x - 5 + 6 = 0
3. Simplify the equation:
Finally, we combine the constant terms to get the equation in standard form:
2x² + 3x + 1 = 0
This is the standard form of the quadratic equation. We can now solve for x using methods like factoring, completing the square, or the quadratic formula.