Solve quadratics by inspection, square roots, completing the square, formula, and factoring; express complex solutions.
Solve a quadratic in factored form using the zero-product property
Problem
Read the solutions directly from the factored equation \((x-4)(x+2)=0\).
Big Picture
What this problem is really about
The equation is already a product equal to zero, so we can use the zero-product property without expanding. We’ll set each linear factor equal to zero, solve both equations, and check that each value makes one original factor vanish.
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