(5x-3)*(x-3)=252

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Solution for (5x-3)*(x-3)=252 equation: 


Simplifying
(5x + -3)(x + -3) = 252

Reorder the terms:
(-3 + 5x)(x + -3) = 252

Reorder the terms:
(-3 + 5x)(-3 + x) = 252

Multiply (-3 + 5x) * (-3 + x)
(-3(-3 + x) + 5x * (-3 + x)) = 252
((-3 * -3 + x * -3) + 5x * (-3 + x)) = 252
((9 + -3x) + 5x * (-3 + x)) = 252
(9 + -3x + (-3 * 5x + x * 5x)) = 252
(9 + -3x + (-15x + 5x2)) = 252

Combine like terms: -3x + -15x = -18x
(9 + -18x + 5x2) = 252

Solving
9 + -18x + 5x2 = 252

Solving for variable 'x'.

Reorder the terms:
9 + -252 + -18x + 5x2 = 252 + -252

Combine like terms: 9 + -252 = -243
-243 + -18x + 5x2 = 252 + -252

Combine like terms: 252 + -252 = 0
-243 + -18x + 5x2 = 0

Factor a trinomial.
(-27 + -5x)(9 + -1x) = 0


Subproblem 1
Set the factor '(-27 + -5x)' equal to zero and attempt to solve:

Simplifying
-27 + -5x = 0

Solving
-27 + -5x = 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 + -5x = 0 + 27

Combine like terms: -27 + 27 = 0
0 + -5x = 0 + 27
-5x = 0 + 27

Combine like terms: 0 + 27 = 27
-5x = 27

Divide each side by '-5'.
x = -5.4

Simplifying
x = -5.4

Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9
Solution
x = {-5.4, 9}

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