Reformatting the input :

Changes made to your input should not influence the solution: (1): "x2" was changed by "x^2".

You are watching: Factor completely 5x2 + 20x.

Step by action solution :

Step 1 :

Equation in ~ the finish of step 1 :

5x2 - 20x = 0

Step 2 :

Step 3 :

Pulling out choose terms :3.1 traction out like factors:5x2 - 20x=5x•(x - 4)

Equation in ~ the end of action 3 :

5x • (x - 4) = 0

Step 4 :

Theory - roots of a product :4.1 A product of numerous terms equates to zero.When a product of 2 or much more terms equates to zero, climate at the very least one of the terms need to be zero.We shall now solve each term = 0 separatelyIn various other words, we room going to deal with as plenty of equations together there space terms in the productAny solution of term = 0 solves product = 0 together well.

Solving a solitary Variable Equation:4.2Solve:5x = 0Divide both political parties of the equation by 5:x = 0

Solving a solitary Variable Equation:4.3Solve:x-4 = 0Add 4 come both sides of the equation:x = 4

Two options were uncovered :

x = 4x = 0


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