100x+50x=150x+4x^2

Solution for 100x+50x=150x+4x^2 equation:

Simplifying
100x + 50x = 150x + 4x2

Combine like terms: 100x + 50x = 150x
150x = 150x + 4x2

Add '-150x' to each side of the equation.
150x + -150x = 150x + -150x + 4x2

Combine like terms: 150x + -150x = 0
0 = 150x + -150x + 4x2

Combine like terms: 150x + -150x = 0
0 = 0 + 4x2
0 = 4x2

Solving
0 = 4x2

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x2' to each side of the equation.
0 + -4x2 = 4x2 + -4x2
Remove the zero:
-4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-4x2 = 0

Divide each side by '-4'.
x2 = 0

Simplifying
x2 = 0

Take the square root of each side:
x = {0}