Question

Solve using the quadratic equation
-4x + 7x + 5 = 0​

Answer 1

x = -5/3

Explanation:

Let's solve your equation step-by-step.

−4x+7x+5=0

Step 1: Simplify both sides of the equation.

−4x+7x+5=0

(−4x+7x)+(5)=0(Combine Like Terms)

3x+5=0

3x+5=0

Step 2: Subtract 5 from both sides.

3x+5−5=0−5

3x=−5

Step 3: Divide both sides by 3.

3x/3 = -5/3

x = -5/3

Answer:

x = -5/3

Answer 2

`\bf{-4x + 7x + 5 = 0}`

Combine −4x and 7x to get 3x.

• 
  `\bf{3x + 5 = 0}`

Subtract 5 from both sides. Any value subtracted from zero results in its negative value.

• 
  `\bf{3x=-5}`

Divide both sides by 3.

• 
  `\bf{x=(-5)/(3) }`

The fraction
`\bf{(-5)/(3) }` can be written as
`\bf{-(5)/(3) }` by removing the negative sign.

• 
  `\bf{x=-(5)/(3) \ \ \to \ \ \ Answer }`

Verification

1. 
   `\sf{-4*(-5)/(3)+7*(-5)/(3)+5=0 }`
2. 
   `\sf{-(4*-5)/(3)+7*(-5)/(3)+5=0 }`
3. 
   `\sf{-(-20)/(3)+7*(-5)/(3)+5=0 }`
4. 
   `\sf{-(-(20)/(3))+7*(-5)/(3)+5=0 }`
5. 
   `\sf{-(-(20)/(3))+(7*-5)/(3)+5=0 }`
6. 
   `\sf{-(-(20)/(3))+(-35)/(3)+5=0 }`
7. 
   `\sf{-(-(20)/(3))-(35)/(3)+5=0 }`
8. 
   `\sf{(20)/(3)-(35)/(3)+5=0 }`
9. 
   `\sf{0=0}`

Checked ✅

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