4x^2+4(-2.25x-1x)x+9=0

Solution for 4x^2+4(-2.25x-1x)x+9=0 equation:

Simplifying
4x2 + 4(-2.25x + -1x) * x + 9 = 0

Combine like terms: -2.25x + -1x = -3.25x
4x2 + 4(-3.25x) * x + 9 = 0

Remove parenthesis around (-3.25x)
4x2 + 4 * -3.25x * x + 9 = 0

Multiply 4 * -3.25
4x2 + -13x * x + 9 = 0

Multiply x * x
4x2 + -13x2 + 9 = 0

Reorder the terms:
9 + 4x2 + -13x2 = 0

Combine like terms: 4x2 + -13x2 = -9x2
9 + -9x2 = 0

Solving
9 + -9x2 = 0

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + -9x2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -9x2 = 0 + -9
-9x2 = 0 + -9

Combine like terms: 0 + -9 = -9
-9x2 = -9

Divide each side by '-9'.
x2 = 1

Simplifying
x2 = 1

Take the square root of each side:
x = {-1, 1}