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16 votes
16 votes
Solve the equation.
4x – 2 = -3x2 + 3x
x = [ ? ],

User Imran Zahoor
by
2.6k points

2 Answers

9 votes
9 votes

Answer:
x = 1/2
Explanation:
Combine exponents
4x-x-2=-3^2+3xx
4x-x-2=-3x^2+3x^2
Combine like terms
4x-2=-3x^2+3x^2
4x-2=0
Add 2 to both sides
4x-2=0
4x-2+2=0+2
Simplify:
Add the numbers
4x-2+2=0+2
4x=0+2
Add the numbers again
4x=0+2
4x=2
Divide both sides by the same factor
4x=2
4x/4 = 2/4
Simplify:
Cancel terms that are in both the numerator and denominator
4x/4 = 2/4
X= 2/4
Divid the numbers
X= 2/4
X= 1/2
Solution/ Answer
x= 1/2

Hope this helps

User Jadie
by
4.1k points
6 votes
6 votes

Answer:


x = - 4

Explanation:


4x - 2 = - 3 * 2 + 3x

Calculate the product:


4x - 2 = - 6 + 3x

Rearrange the terms:


4x - 3x = - 6 + 2

Combine like terms:


x = - 6 + 2

Calculate:


x = - 4

User Kraig Wastlund
by
3.2k points