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mariarad [96]
3 years ago
6

Solve the equation using the Zero-Product Property. (x-2)(x+7)=0

Mathematics
2 answers:
AysviL [449]3 years ago
7 0
The zero-product property is when the two factors of a polynomial equal zero, you equate each with zero and solve them separately. So, for this problem,

(x - 2) = 0    and    (x+7) = 0

Then x = 2    and    x = -7

The answer for the values of x is 2 and -7.
konstantin123 [22]3 years ago
7 0

Answer:

2, -7 is correct.

Step-by-step explanation:

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Solve the following equation and then graphically: 16x + =14x + 10
cestrela7 [59]

Answer:

Step-by-step explanation:

Simplifying

16x + -14 = 14x + -10

Reorder the terms:

-14 + 16x = 14x + -10

Reorder the terms:

-14 + 16x = -10 + 14x

Solving

-14 + 16x = -10 + 14x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-14x' to each side of the equation.

-14 + 16x + -14x = -10 + 14x + -14x

Combine like terms: 16x + -14x = 2x

-14 + 2x = -10 + 14x + -14x

Combine like terms: 14x + -14x = 0

-14 + 2x = -10 + 0

-14 + 2x = -10

Add '14' to each side of the equation.

-14 + 14 + 2x = -10 + 14

Combine like terms: -14 + 14 = 0

0 + 2x = -10 + 14

2x = -10 + 14

Combine like terms: -10 + 14 = 4

2x = 4

Divide each side by '2'.

x = 2 Simplifying

16x + -14 = 14x + -10

Reorder the terms:

-14 + 16x = 14x + -10

Reorder the terms:

-14 + 16x = -10 + 14x

Solving

-14 + 16x = -10 + 14x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-14x' to each side of the equation.

-14 + 16x + -14x = -10 + 14x + -14x

Combine like terms: 16x + -14x = 2x

-14 + 2x = -10 + 14x + -14x

Combine like terms: 14x + -14x = 0

-14 + 2x = -10 + 0

-14 + 2x = -10

Add '14' to each side of the equation.

-14 + 14 + 2x = -10 + 14

Combine like terms: -14 + 14 = 0

0 + 2x = -10 + 14

2x = -10 + 14

Combine like terms: -10 + 14 = 4

2x = 4

Divide each side by '2'.

x = 2

Simplifying

x = 2

Simplifying

x = 2

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