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Example 1

Solve the proportion for w:

Distribute the 6.

Subtract 6w from both sides.

Divide both sides by 4.

10w

4w

w

= 6w + 24

= 24

= 6

We leave the check to you.

Example 2

Solve the proportion for x:

Simplify.

This is a quadratic equation. We write it in standard form.

Factor the right side.

-12

0

= x^{2} - 2x - 15

= x^{2} - 2x - 3

= (x - 3)(x + 1)

Solve each equation.

x = 3

or

x = -1