Question

Write the quadratic equation in standard form:
2x^2+2x-2= 5x

Answer 1

`\displaystyle{2x^2-3x-2=0}`

Step-by-step explanation:

The standard form of quadratic equation is
`\displaystyle{ax^2+bx+c=0}`.

We are given the equation of
`\displaystyle{2x^2+2x-2=5x}`. All we have to do is to convert the given equation to the standard equation as shown above:

First, subtract both sides by 5x:

`\displaystyle{2x^2+2x-2-5x=5x-5x}\\\\\displaystyle{2x^2+2x-2-5x=0}`

Now that should leave the right-hand side equal to 0. Then we evaluate the terms on the left-hand side while also in order of degree:

`\displaystyle{2x^2+2x-5x-2=0}\\\\\displaystyle{2x^2-3x-2=0}`

Finally, we have the equation in standard form which is
`\displaystyle{2x^2-3x-2=0}`.