x^2-3x+2.25=28+2.25

Solution for x^2-3x+2.25=28+2.25 equation:

Simplifying
x2 + -3x + 2.25 = 28 + 2.25

Reorder the terms:
2.25 + -3x + x2 = 28 + 2.25

Combine like terms: 28 + 2.25 = 30.25
2.25 + -3x + x2 = 30.25

Solving
2.25 + -3x + x2 = 30.25

Solving for variable 'x'.

Reorder the terms:
2.25 + -30.25 + -3x + x2 = 30.25 + -30.25

Combine like terms: 2.25 + -30.25 = -28
-28 + -3x + x2 = 30.25 + -30.25

Combine like terms: 30.25 + -30.25 = 0.00
-28 + -3x + x2 = 0.00

Factor a trinomial.
(-4 + -1x)(7 + -1x) = 0.00

Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve:

Simplifying
-4 + -1x = 0

Solving
-4 + -1x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 0 + 4
-1x = 0 + 4

Combine like terms: 0 + 4 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4
Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {-4, 7}