SOLUTION: Factoring to solve Quadratic Equations. Solve by Factoring. 1. x squared + 7x = 8 2. x squared = 25 3. 2t squared + 8t - 64 =0 4. 3a squared

SOLUTION: Factoring to solve Quadratic Equations. Solve by Factoring. 1. x squared + 7x = 8 2. x squared = 25 3. 2t squared + 8t - 64 =0 4. 3a squared - 36a + 81 = 0 5. 2a sq

Question 115480: Factoring to solve Quadratic Equations.
Solve by Factoring.
1. x squared + 7x = 8
2. x squared = 25
3. 2t squared + 8t - 64 =0
4. 3a squared - 36a + 81 = 0
5. 2a squared - a - 21 = 0
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
I'll do the first few to give you an idea how to do these

#1

Start with the given equation

Move all of the terms to the left side

Factor the left side (note: if you need help with factoring, check out this solver)

Now set each factor equal to zero:
or

or Now solve for x in each case

So our answer is
or

Notice if we graph we can see that the roots are and . So this visually verifies our answer.

#2

Start with the given equation

Move all of the terms to the left side

Factor the left side (note: if you need help with factoring, check out this solver)

Now set each factor equal to zero:
or

or Now solve for x in each case

So our answer is
or

Notice if we graph we can see that the roots are and . So this visually verifies our answer.

#3

Start with the given equation

Factor out the GCF 2

Factor the inner expression (note: if you need help with factoring, check out this solver)

Now set each factor equal to zero:
or

or Now solve for t in each case

So our answer is
or

Notice if we graph we can see that the roots are and . So this visually verifies our answer.

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