35x^2+90=225x

Solution for 35x^2+90=225x equation:

Simplifying
35x2 + 90 = 225x

Reorder the terms:
90 + 35x2 = 225x

Solving
90 + 35x2 = 225x

Solving for variable 'x'.

Reorder the terms:
90 + -225x + 35x2 = 225x + -225x

Combine like terms: 225x + -225x = 0
90 + -225x + 35x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(18 + -45x + 7x2) = 0

Factor a trinomial.
5((3 + -7x)(6 + -1x)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(3 + -7x)' equal to zero and attempt to solve:

Simplifying
3 + -7x = 0

Solving
3 + -7x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -7x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -7x = 0 + -3
-7x = 0 + -3

Combine like terms: 0 + -3 = -3
-7x = -3

Divide each side by '-7'.
x = 0.4285714286

Simplifying
x = 0.4285714286
Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {0.4285714286, 6}