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horsena [70]
3 years ago
8

Solve the equation 3x=5(x+3)-3

Mathematics
1 answer:
netineya [11]3 years ago
4 0
3x = 5(x + 3) - 3    |use distributive property: a(b + c) = ab + ac

3x = 5x + 15 - 3

3x = 5x + 12    |subtract 5x from both sides

-2x = 12    |divide both sides by (-2)

x = -6
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QT = RT

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Multiply: (x+4)(x^2+2x+3) <br> Simplify and write your answer in Standard Form.
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x^3+6x^2+11x+12

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Which expression is the factorization of x2 + 10x + 21?
LiRa [457]
<h2><u>Sol</u><u>ution</u><u>:</u></h2>

Equation: x² + 10x + 21

<u>Step</u><u> </u><u>1</u><u>:</u> Find two numbers that can add up to 10 and be multiplied to 21. We have: 7 & 3, in the sense that 7+3=10, and 7×3=21. Replacing 10 with 7+3, the equation is now → x² + 7x + 3x + 21

<u>Step</u><u> </u><u>2</u><u>:</u> Get the new equation bracketed → (x² + 7x) (+3x + 21)

<u>Step</u><u> </u><u>3</u><u>:</u> Use 'x' in the equation. For the first part, we have 'x'. x² = x × x so, bring out one x out side the bracket, divide 7x by = 7 → x (x +7). Do the same for the second part by dividing 21 by 3 = 7, and then bringing out 3 from the bracket → 3 (x + 7).

Bringing everything together, we have: x(x+7) +3(x+7) → (x+3) (x+7)

<h3><u>Final</u><u> </u><u>ans</u><u>wer</u><u>:</u></h3>

(x+3) (x+7)

<h3 />

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