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Morgarella [4.7K]
4 years ago
9

What is (x+5)(x-4)=0 Expand and solve for x

Mathematics
2 answers:
Irina18 [472]4 years ago
8 0

Answer:

A) \huge\boxed{\sf x^2 + x - 20 = 0}

B) \huge\boxed{\sf x = - 5   \ \ \ \     OR     \ \ \ \   x = 4}

Step-by-step explanation:

\sf (x+5)(x-4) = 0

\rule[225]{225}{2}

<u>Expanding:</u>

Expanding Brackets

\sf x^2 -4x+5x-20 = 0

Adding / Subtracting Like terms

\sf x^2 + x - 20 = 0

\rule[225]{225}{2}

<u>Solving:</u>

<em>Given the equation:</em>

(x+5)(x-4) = 0

Using zero Method

<u>Either,</u>

x + 5 = 0   OR      x - 4 = 0

x = - 5       OR       x = 4

\rule[225]{225}{2}

Veronika [31]4 years ago
3 0

step 1

(x - 4) • (x + 5) = 0

STEP

:

A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

Solving a Single Variable Equation:

2.2 Solve : x-4 = 0

Add 4 to both sides of the equation :

x = 4

Solving a Single Variable Equation:

2.3 Solve : x+5 = 0

Subtract 5 from both sides of the equation :

x = -5

.

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