35x^2=-36+72x

Solution for 35x^2=-36+72x equation:

Simplifying
35x2 = -36 + 72x

Solving
35x2 = -36 + 72x

Solving for variable 'x'.

Reorder the terms:
36 + -72x + 35x2 = -36 + 72x + 36 + -72x

Reorder the terms:
36 + -72x + 35x2 = -36 + 36 + 72x + -72x

Combine like terms: -36 + 36 = 0
36 + -72x + 35x2 = 0 + 72x + -72x
36 + -72x + 35x2 = 72x + -72x

Combine like terms: 72x + -72x = 0
36 + -72x + 35x2 = 0

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

Subproblem 1
Set the factor '(6 + -7x)' equal to zero and attempt to solve:

Simplifying
6 + -7x = 0

Solving
6 + -7x = 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 + -7x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -7x = 0 + -6
-7x = 0 + -6

Combine like terms: 0 + -6 = -6
-7x = -6

Divide each side by '-7'.
x = 0.8571428571

Simplifying
x = 0.8571428571
Subproblem 2
Set the factor '(6 + -5x)' equal to zero and attempt to solve:

Simplifying
6 + -5x = 0

Solving
6 + -5x = 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 + -5x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = 0 + -6
-5x = 0 + -6

Combine like terms: 0 + -6 = -6
-5x = -6

Divide each side by '-5'.
x = 1.2

Simplifying
x = 1.2
Solution
x = {0.8571428571, 1.2}