solve each equation using distributive property and zero product property
5x(x+2/3)+(x+2/3)
Answers
Step-by-step explanation:
Step 1
Use the distributive property to multiply 5x5x by x+\frac{2}{3}x+
3
2
.
5x^{2}+5x\times \left(\frac{2}{3}\right)+x+\frac{2}{3}5x
2
+5x×(
3
2
)+x+
3
2
Step 2
Express 5\times \left(\frac{2}{3}\right)5×(
3
2
) as a single fraction.
5x^{2}+\frac{5\times 2}{3}x+x+\frac{2}{3}5x
2
+
3
5×2
x+x+
3
2
Step 3
Multiply 55 and 22 to get 1010.
5x^{2}+\frac{10}{3}x+x+\frac{2}{3}5x
2
+
3
10
x+x+
3
2
Step 4
Combine \frac{10}{3}x
3
10
x and xx to get \frac{13}{3}x
3
13
x.
5x^{2}+\frac{13}{3}x+\frac{2}{3}5x
2
+
3
13
x+
3
2
Solution
5x^{2}+\frac{13x}{3}+\frac{2}{3}5x
2
+
3
13x
+
3
2
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Answer:
bt the problem
5x^2+10x/3+x+2/3=O
15x^2+10x+3x+2/3=0
15x^2 +13x+2/3=0
15x^2+13x+2=0
15x^2+15x-2x+2=0
15x(x+1)-2(x+1)=0
(15x-2)(x+1)=o
either,15x=2. or, x+1=0
x=2/15. x=-1