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3 years ago

What is the answer of this equation ? 10x-6(2x+5)=20

Mathematics

1 answer:

Rudiy273 years ago

6 0

Answer:

Simplifying

x = -25

Step-by-step explanation:

Reorder the terms:

10x + -6(5 + 2x) = 20

10x + (5 * -6 + 2x * -6) = 20

10x + (-30 + -12x) = 20

Reorder the terms:

-30 + 10x + -12x = 20

Combine like terms: 10x + -12x = -2x

-30 + -2x = 20

Solving

-30 + -2x = 20

Solving for variable 'x'.

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

Add '30' to each side of the equation.

-30 + 30 + -2x = 20 + 30

Combine like terms: -30 + 30 = 0

0 + -2x = 20 + 30

-2x = 20 + 30

Combine like terms: 20 + 30 = 50

-2x = 50

Divide each side by '-2'.

x = -25

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katrin2010 [14]

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2 years ago

Rewrite the polynomial-9x^5+36x^4+189x^3 in factored form, using the factoring method method you prefer.

ozzi

The polynomial 9x^5+36x^4+189x^3 in factored form is $-9 x \times x \times x \times(x-7) \times(x+3)$

<u>Solution:</u>

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We have to find the factored form of the above given polynomial equation.

Let us solve it by grouping.

Now, take the polynomial ⇒ $-9 x^{5}+36 x^{4}+189 x^{3}$

By taking common term out, we get

$\rightarrow-9 x^{3}\left(x^{2}-4 x-21\right)$

$\rightarrow-9 x^{3}\left(x^{2}-(7-3) x-7 \times 3\right)$

Grouping the terms we get,

$\rightarrow-9 x^{3}\left(\left(x^{2}-7 x\right)+(3 x-7 x^3)\right)$

Taking common terms out from each group,

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&amount&concentration&
\begin{array}{llll}
concentration\\
amount
\end{array}\\
&-----&-------&-------\\
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----------\\
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