Jasonbradley
Home

(x-6)(x+0.7)=0

2 min read Jun 17, 2024
(x-6)(x+0.7)=0

Solving the Equation (x-6)(x+0.7)=0

This equation is a quadratic equation in factored form. We can use the Zero Product Property to solve it.

Zero Product Property

The Zero Product Property states that if the product of two or more factors is zero, then at least one of the factors must be zero.

Solving the Equation

  1. Set each factor equal to zero:

    • x - 6 = 0
    • x + 0.7 = 0

  2. Solve for x in each equation:

    • x = 6
    • x = -0.7

Therefore, the solutions to the equation (x-6)(x+0.7) = 0 are x = 6 and x = -0.7.

Checking the Solutions

We can check our solutions by substituting them back into the original equation.

  • For x = 6: (6 - 6)(6 + 0.7) = 0 * 6.7 = 0
  • For x = -0.7: (-0.7 - 6)(-0.7 + 0.7) = -6.7 * 0 = 0

Since both solutions result in 0, we have verified that they are correct.

Related Post

Featured Posts