(3x + 7) (10x – 22) What does x equal?

Mathematics

1 answer:

LenKa [72]4 years ago

4 0

Answer:

3x+7=10x-22

We simplify the equation to the form, which is simple to understand

3x+7=10x-22

We move all terms containing x to the left and all other terms to the right.

+3x-10x=-22-7

We simplify left and right side of the equation.

-7x=-29

We divide both sides of the equation by -7 to get x.

x=4.14285714286

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$\bf \cfrac{x^2-x-42}{x-6}\implies \cfrac{(x+7)\underline{(x-6)}}{\underline{x-6}}\implies x+7$

so.. the left-hand-side does indeed simplify to x+7, so the equation does check out.

however, notice something, for the equation of x+7, when x = 6, we get (6) + 7 which is 13.

BUT for the rational, we get $\bf \cfrac{x^2-x-42}{x-6}\qquad \boxed{x=6}\implies \cfrac{x^2-x-42}{\boxed{6}-6}\implies \stackrel{und efined}{\cfrac{x^2-x-42}{0}}$

so, even though the siimplification is correct, the rational or original expression is constrained in its domain.

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