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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

1. Solving Quadratic Equations by Factoring

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Exercise 50 Page 175

Use the Zero Product Property.

x=0 and x=3

Practice makes perfect

To solve the given equation, let's factor and solve using the Zero Product Property.

Factoring

To begin, let's rewrite the equation with all the non-zero terms on the left-hand side. After that, we will proceed to factoring.

5x^2=15x

LHS-15x=RHS-15x

5x^2-15x=0

Factor out 5x

5x(x-3)=0

Solving

Now we can apply the Zero Product Property to solve.

5x(x-3)=0

Use the Zero Product Property

lc5x=0 & (I) x-3=0 & (II)

(I): .LHS /5.=.RHS /5.

lx=0 x-3=0

(II): LHS+3=RHS+3

lx_1=0 x_2=3

The solutions for our equation are 0 and 3.

Subchapter links

Exercises p.174-177