3x^2+30x-69=40x-72

Solution for 3x^2+30x-69=40x-72 equation:

Simplifying
3x2 + 30x + -69 = 40x + -72

Reorder the terms:
-69 + 30x + 3x2 = 40x + -72

Reorder the terms:
-69 + 30x + 3x2 = -72 + 40x

Solving
-69 + 30x + 3x2 = -72 + 40x

Solving for variable 'x'.

Reorder the terms:
-69 + 72 + 30x + -40x + 3x2 = -72 + 40x + 72 + -40x

Combine like terms: -69 + 72 = 3
3 + 30x + -40x + 3x2 = -72 + 40x + 72 + -40x

Combine like terms: 30x + -40x = -10x
3 + -10x + 3x2 = -72 + 40x + 72 + -40x

Reorder the terms:
3 + -10x + 3x2 = -72 + 72 + 40x + -40x

Combine like terms: -72 + 72 = 0
3 + -10x + 3x2 = 0 + 40x + -40x
3 + -10x + 3x2 = 40x + -40x

Combine like terms: 40x + -40x = 0
3 + -10x + 3x2 = 0

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

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

Simplifying
1 + -3x = 0

Solving
1 + -3x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = 0 + -1
-3x = 0 + -1

Combine like terms: 0 + -1 = -1
-3x = -1

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333
Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {0.3333333333, 3}