3k(k+10)=0 factor show steps please

Mathematics

1 answer:

saul85 [17]3 years ago

7 0

Answer:

Simplifying

3k(k + 10) = 0

Reorder the terms:

3k(10 + k) = 0

(10 * 3k + k * 3k) = 0

(30k + 3k2) = 0

Solving

30k + 3k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '3k'.

3k(10 + k) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'k' equal to zero and attempt to solve:

Simplifying

k = 0

Solving

k = 0

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

Simplifying

k = 0

Subproblem 2

Set the factor '(10 + k)' equal to zero and attempt to solve:

Simplifying

10 + k = 0

Solving

10 + k = 0

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

Add '-10' to each side of the equation.

10 + -10 + k = 0 + -10

Combine like terms: 10 + -10 = 0

0 + k = 0 + -10

k = 0 + -10

Combine like terms: 0 + -10 = -10

k = -10

Simplifying

k = -10

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What is the slope of the line through (-2,3) and (1,1)?

son4ous [18]

The slope of the line is -2/3.

This is found by using the equation y2 - y1/x2 - x1. Filling in for each factor, you would have 1-3/1+2 (since subtracting a negative makes it positive). This will give you a final answer of -2/3.

Here is a graph of the full equation of the line.

I hope this helps!