What are the steps to solving an incomplete quadratic equation?
There are two kinds of incomplete quadratic equations:1) ax2+bx=0 (e.g. 4x2+2x=0)2) ax2+c=0 (e.g. 5x2-125=0)And the ways to solve them are as follows:Type 1) For example, 4x2+2x=0.You take out x (and a number multiplying it, if possible:)2x(2x+1)=0In order for the equation to be correct, then either the outcome of the brackets (2x+1) or the number multiplying them (2x) needs to be zero:2x+1=02x=-1x1=-0.52x=0x2=0So the two solutions are -0.5 and 0. This also works if you take out only x:x(4x+2)=04x+2=04x=-2x1=-0.5x2=0Type 2) For example, 5x2-125=0. This type of incomplete quadratic equation can be solved like a regular equation, as follows:5x2-125=05x2=125x2=25x=±5 (x1=5, x2=-5)