64x^2-96x+36=325x+225

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Solution for 64x^2-96x+36=325x+225 equation: 


Simplifying
64x2 + -96x + 36 = 325x + 225

Reorder the terms:
36 + -96x + 64x2 = 325x + 225

Reorder the terms:
36 + -96x + 64x2 = 225 + 325x

Solving
36 + -96x + 64x2 = 225 + 325x

Solving for variable 'x'.

Reorder the terms:
36 + -225 + -96x + -325x + 64x2 = 225 + 325x + -225 + -325x

Combine like terms: 36 + -225 = -189
-189 + -96x + -325x + 64x2 = 225 + 325x + -225 + -325x

Combine like terms: -96x + -325x = -421x
-189 + -421x + 64x2 = 225 + 325x + -225 + -325x

Reorder the terms:
-189 + -421x + 64x2 = 225 + -225 + 325x + -325x

Combine like terms: 225 + -225 = 0
-189 + -421x + 64x2 = 0 + 325x + -325x
-189 + -421x + 64x2 = 325x + -325x

Combine like terms: 325x + -325x = 0
-189 + -421x + 64x2 = 0

Factor a trinomial.
(-27 + -64x)(7 + -1x) = 0


Subproblem 1
Set the factor '(-27 + -64x)' equal to zero and attempt to solve:

Simplifying
-27 + -64x = 0

Solving
-27 + -64x = 0

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

Add '27' to each side of the equation.
-27 + 27 + -64x = 0 + 27

Combine like terms: -27 + 27 = 0
0 + -64x = 0 + 27
-64x = 0 + 27

Combine like terms: 0 + 27 = 27
-64x = 27

Divide each side by '-64'.
x = -0.421875

Simplifying
x = -0.421875

Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {-0.421875, 7}

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