Question

Two Step problem:STEP 1: 7x^2 = -4using the standard form ax^2 +bx + c =0 of the given quadratic equation, factor the left hand side of the equation into two linear factors. STEP 2: 7x^2 = -4xsolve the quadratic equation by factoring. Write your answer in reduced fraction form, if necessary. PICTURE OF ANSWER BOX ATTACHED: is for step #2

Answer 1

Step 1

x(7x+4)

Step2

x_1=0, x_2 =-4/7

Step 1)

1) Let's factor that incomplete quadratic equation (since c=0):

7x² = -4x Add 4x to both sides

7x² + 4x = 0 Place outside the parenthese the common factor: x

x(7x+4) = 0

Step 2)

Now we can solve that:

x(7x+4)=0 Which number multiplied by x yields 0?

Then we can state that x_1 = 0

Solving that Linear Factor:

(7x +4) = 0 Removing the Parentheses

7x +4 = 0 Subtract 4 from both sides

7x = -4 Divide both sides by 7

x = -4/7

3) Hence, the answers are:

Step 1

x(7x+4)

Step2

x_1=0, x_2 =-4/7