32x^2=3-20x

Solution for 32x^2=3-20x equation:

Simplifying
32x2 = 3 + -20x

Solving
32x2 = 3 + -20x

Solving for variable 'x'.

Reorder the terms:
-3 + 20x + 32x2 = 3 + -20x + -3 + 20x

Reorder the terms:
-3 + 20x + 32x2 = 3 + -3 + -20x + 20x

Combine like terms: 3 + -3 = 0
-3 + 20x + 32x2 = 0 + -20x + 20x
-3 + 20x + 32x2 = -20x + 20x

Combine like terms: -20x + 20x = 0
-3 + 20x + 32x2 = 0

Factor a trinomial.
(-3 + -4x)(1 + -8x) = 0

Subproblem 1
Set the factor '(-3 + -4x)' equal to zero and attempt to solve:

Simplifying
-3 + -4x = 0

Solving
-3 + -4x = 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 + -4x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -4x = 0 + 3
-4x = 0 + 3

Combine like terms: 0 + 3 = 3
-4x = 3

Divide each side by '-4'.
x = -0.75

Simplifying
x = -0.75
Subproblem 2
Set the factor '(1 + -8x)' equal to zero and attempt to solve:

Simplifying
1 + -8x = 0

Solving
1 + -8x = 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 + -8x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -8x = 0 + -1
-8x = 0 + -1

Combine like terms: 0 + -1 = -1
-8x = -1

Divide each side by '-8'.
x = 0.125

Simplifying
x = 0.125
Solution
x = {-0.75, 0.125}