### Reformatting the intake :

Changes made to her input must not affect the solution: (1): "x2" was replaced by "x^2".

You are watching: Solve: 8x2 + 64x = 0.

## Step 1 :

Equation at the end of step 1 :

23x2 - 64x = 0

## Step 3 :

Pulling out like terms :3.1 traction out choose factors:8x2 - 64x=8x•(x - 8)

Equation at the end of action 3 :

8x • (x - 8) = 0

## Step 4 :

Theory - roots of a product :4.1 A product of number of terms amounts to zero.When a product of 2 or more terms equates to zero, climate at least one the the terms must be zero.We shall now solve every term = 0 separatelyIn various other words, we room going to solve as many equations as there space terms in the productAny solution of ax = 0 solves product = 0 together well.

Solving a single Variable Equation:4.2Solve:8x = 0Divide both political parties of the equation by 8:x = 0

Solving a single Variable Equation:4.3Solve:x-8 = 0Add 8 to both sides of the equation:x = 8

x = 8x = 0

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