How To Solve H\Xb2+6h=16 Using Quadratical Equation By Factoring?

How to solve h²+6h=16 using Quadratical Equation by factoring?

Answer:

$h = - 8 \\ h = 2$

Step-by-step explanation:

1.)First we arrange it to the standard form.

we move 16 to the left, change its sign and equal to 0.

2.) We Factor.

Remove 6h and Write the two numbers that adds up to 6 and has the product of -16 and add h.

${h}^{2} + 6h = 16 \\ {h}^{2} + 6h - 16 = 0 \\ {h}^{2} + 8h - 2h - 16 = 0 \\ h( h + 8) - 2(h + 8) = 0$

3.) Regroup.

take the terms inside the parentheses which is (h+8)

take the terms outside the parentheses and combine.(h-2)

$h + 8 = 0 \\ h - 2 = 0$

4.) And now we simplify.

$h = - 8 \\ h = 2$

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