32x^2-78x+45=0

Solution for 32x^2-78x+45=0 equation:

Simplifying
32x2 + -78x + 45 = 0

Reorder the terms:
45 + -78x + 32x2 = 0

Solving
45 + -78x + 32x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(15 + -16x)(3 + -2x) = 0

Subproblem 1
Set the factor '(15 + -16x)' equal to zero and attempt to solve:

Simplifying
15 + -16x = 0

Solving
15 + -16x = 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 + -16x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -16x = 0 + -15
-16x = 0 + -15

Combine like terms: 0 + -15 = -15
-16x = -15

Divide each side by '-16'.
x = 0.9375

Simplifying
x = 0.9375
Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve:

Simplifying
3 + -2x = 0

Solving
3 + -2x = 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 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5
Solution
x = {0.9375, 1.5}