Solve x^2+4x

Solve ax² + bx + c = 0 using the quadratic formula with discriminant analysis.

Equation
Answer
x = -4, 0

x2+4x

Solve by factoring the quadratic and applying the zero product property:

Factor out x:

x(x + 4) = 0

Step 1 — Apply the zero product property

If a product equals zero, at least one of the factors must be zero. Set each factor equal to zero and solve:

x = 0

x + 4 = 0 → x = −4

x = -4, 0

-5 -4 -3 -2 -1 1 -4 -2 2 4 6 x = -2 (-4, 0) (0, 0) vertex (-2, -4)

How to solve x^2+4x

To solve x^2+4x, we can try factoring, use the quadratic formula, or complete the square. The solution is x = -4, 0.

This is a second-degree quadratic equation — the highest power of the variable is 2. Quadratic equations can have two real roots, one repeated root, or two complex roots.

Frequently asked questions

What is the answer to x^2+4x?
The answer is x = -4, 0.

What method is used?
factoring when possible, or the quadratic formula x = (−b ± √(b²−4ac)) / 2a. The discriminant b²−4ac determines the number and type of solutions.

How do I verify this?
Substituting the solution(s) back into x^2+4x confirms both sides are equal.

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