what is 16x^2 = 56x ?

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Answer 1 · 2018-03-27T00:24:07

$x=7/2$

Divide both sides by $x.$ This will cause $x$ to cancel out on the right hand side.

$(16x^2)/x=(56cancelx)/cancelx$

Recall that $x^a/x^b=x^(a-b)$

Thus, we have

$16x^(2-1)=56$

$16x=56$

Divide both sides by $16:$

$(cancel16x)/cancel16=56/16$

Simplify:

$x=56/16=color(red)(7/2$

Answer 2 · 2018-03-27T11:20:38

$x=0$ or $x=3 1/2$

Given
$color(white)("XXX")16x^2=56x$

After subtracting $56x$ from both sides:
$color(white)("XXX")16x^2-56x=0$

Factoring out the $x$ on the left side
$color(white)("XXX")x(16x-56)=0$

This implies that
${: ("either",x=0," or ",16x-56=0), (,,,rarr x=56/16=7/2=3 1/2) :}$