Question

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

Answer 1

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

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.

• $\bf{x=\dfrac{-5}{3} }$

The fraction $\bf{\frac{-5}{3} }$ can be written as $\bf{-\frac{5}{3} }$ by removing the negative sign.

• $\bf{x=-\dfrac{5}{3} \ \ \to \ \ \ Answer }$

Verification

1. $\sf{-4\times\dfrac{-5}{3}+7\times\dfrac{-5}{3}+5=0 }$
2. $\sf{-\dfrac{4\times-5}{3}+7\times\dfrac{-5}{3}+5=0 }$
3. $\sf{-\dfrac{-20}{3}+7\times\dfrac{-5}{3}+5=0 }$
4. $\sf{-(-\dfrac{20}{3})+7\times\dfrac{-5}{3}+5=0 }$
5. $\sf{-(-\dfrac{20}{3})+\dfrac{7\times-5}{3}+5=0 }$
6. $\sf{-(-\dfrac{20}{3})+\dfrac{-35}{3}+5=0 }$
7. $\sf{-(-\dfrac{20}{3})-\dfrac{35}{3}+5=0 }$
8. $\sf{\dfrac{20}{3}-\dfrac{35}{3}+5=0 }$  
9. $\sf{0=0}$

Checked ✅

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Answer 2

Answer:

x = -5/3

Step-by-step 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