64x^2-48x+9=(8x-3)

Solution for 64x^2-48x+9=(8x-3) equation:

Simplifying
64x2 + -48x + 9 = (8x + -3)

Reorder the terms:
9 + -48x + 64x2 = (8x + -3)

Reorder the terms:
9 + -48x + 64x2 = (-3 + 8x)

Remove parenthesis around (-3 + 8x)
9 + -48x + 64x2 = -3 + 8x

Solving
9 + -48x + 64x2 = -3 + 8x

Solving for variable 'x'.

Reorder the terms:
9 + 3 + -48x + -8x + 64x2 = -3 + 8x + 3 + -8x

Combine like terms: 9 + 3 = 12
12 + -48x + -8x + 64x2 = -3 + 8x + 3 + -8x

Combine like terms: -48x + -8x = -56x
12 + -56x + 64x2 = -3 + 8x + 3 + -8x

Reorder the terms:
12 + -56x + 64x2 = -3 + 3 + 8x + -8x

Combine like terms: -3 + 3 = 0
12 + -56x + 64x2 = 0 + 8x + -8x
12 + -56x + 64x2 = 8x + -8x

Combine like terms: 8x + -8x = 0
12 + -56x + 64x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(3 + -14x + 16x2) = 0

Factor a trinomial.
4((3 + -8x)(1 + -2x)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(3 + -8x)' equal to zero and attempt to solve:

Simplifying
3 + -8x = 0

Solving
3 + -8x = 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 + -8x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -8x = 0 + -3
-8x = 0 + -3

Combine like terms: 0 + -3 = -3
-8x = -3

Divide each side by '-8'.
x = 0.375

Simplifying
x = 0.375
Subproblem 2
Set the factor '(1 + -2x)' equal to zero and attempt to solve:

Simplifying
1 + -2x = 0

Solving
1 + -2x = 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 + -2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = 0 + -1
-2x = 0 + -1

Combine like terms: 0 + -1 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5
Solution
x = {0.375, 0.5}