4x^2-2x
————
X^2+2x+1

x = 0 or x = 1/2 and x = -1 for the second equation

Step-by-step explanation:

Solve for x:

4 x^2 - 2 x = 0

Factor x and constant terms from the left hand side:

2 x (2 x - 1) = 0

Divide both sides by 2:

x (2 x - 1) = 0

Split into two equations:

x = 0 or 2 x - 1 = 0

Add 1 to both sides:

x = 0 or 2 x = 1

Divide both sides by 2:

x = 0 or x = 1/2

Solve for x:

x^2 + 2 x + 1 = 0

Write the left hand side as a square:

(x + 1)^2 = 0

Take the square root of both sides:

x + 1 = 0

Subtract 1 from both sides:

x = -1

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.