Answer: x=0,−0.0025
th
Step-by-step explanation: x−2)(−5x+x)=0×−5x+%x+−2×−5x+−2x
2 Simplify -5x+x−5x+x to -4x−4x.
(x-2)\times -4x=0\times -5x+\%x-2\times -5x-2x(x−2)×−4x=0×−5x+%x−2×−5x−2x
3 Regroup terms.
-4x(x-2)=0\times -5x+\%x-2\times -5x-2x−4x(x−2)=0×−5x+%x−2×−5x−2x
4 Simplify 0\times -5x0×−5x to 00.
-4x(x-2)=0+\%x-2\times -5x-2x−4x(x−2)=0+%x−2×−5x−2x
5 Simplify 2\times -5x2×−5x to -10x−10x.
-4x(x-2)=0+\%x-(-10x)-2x−4x(x−2)=0+%x−(−10x)−2x
6 Remove parentheses.
-4x(x-2)=0+\%x+10x-2x−4x(x−2)=0+%x+10x−2x
7 Simplify 0+\%x+10x-2x0+%x+10x−2x to \%x+8x%x+8x.
-4x(x-2)=\%x+8x−4x(x−2)=%x+8x
8 Expand.
-4{x}^{2}+8x=\%x+8x−4x
2
+8x=%x+8x
9 Cancel 8x8x on both sides.
-4{x}^{2}=\%x−4x
2
=%x
10 Move all terms to one side.
4{x}^{2}+\%x=04x
2
+%x=0
11 Factor out the common term xx.
x(4x+\%)=0x(4x+%)=0
