Solve the equation. 2x^{2}+x=6

gabioskay7

gabioskay7

Answered question

2021-11-17

Solve the equation. 2x2+x=6

Answer & Explanation

Salvador Fry

Salvador Fry

Beginner2021-11-18Added 12 answers

Step 1
Given equation:
2x2+x=6
Step 2
Solving the equation:
2x2+x=6
2x2+x6=0
2x2+4x3x6=0
(2x2+4x)(3x+6)=0
2x(x+2)-3(x+2)=0
(x+2)(2x-3)=0
x=2,32
Hence,
The solutions to the quadratic equation are:
x=32,x=2
Forneadil

Forneadil

Beginner2021-11-19Added 18 answers

Step 1: Move the terms to the left of the equation
2x2+x=6
2x2+x6=0
Step 2: Use the sum of the products
2x2+4x3x6=0
Step 3: Find the common factor for two pairs
2x(x+2)-3(x+2)=0
Step 4: Multiply by factors
(2x-3)(x+2)=0
Step 5: Write down the individual equations
2x-3=0
x+2=0
Step 6: Calculation
x=32
x=-2
The solution
x=32
x=-2

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