140=4x^2-72x+320

Solution for 140=4x^2-72x+320 equation:

Simplifying
140 = 4x2 + -72x + 320

Reorder the terms:
140 = 320 + -72x + 4x2

Solving
140 = 320 + -72x + 4x2

Solving for variable 'x'.

Combine like terms: 140 + -320 = -180
-180 + 72x + -4x2 = 320 + -72x + 4x2 + -320 + 72x + -4x2

Reorder the terms:
-180 + 72x + -4x2 = 320 + -320 + -72x + 72x + 4x2 + -4x2

Combine like terms: 320 + -320 = 0
-180 + 72x + -4x2 = 0 + -72x + 72x + 4x2 + -4x2
-180 + 72x + -4x2 = -72x + 72x + 4x2 + -4x2

Combine like terms: -72x + 72x = 0
-180 + 72x + -4x2 = 0 + 4x2 + -4x2
-180 + 72x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-180 + 72x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-45 + 18x + -1x2) = 0

Factor a trinomial.
4((-15 + x)(3 + -1x)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-15 + x)' equal to zero and attempt to solve:

Simplifying
-15 + x = 0

Solving
-15 + x = 0

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

Add '15' to each side of the equation.
-15 + 15 + x = 0 + 15

Combine like terms: -15 + 15 = 0
0 + x = 0 + 15
x = 0 + 15

Combine like terms: 0 + 15 = 15
x = 15

Simplifying
x = 15
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 = {15, 3}