4x^2-53x+153=0

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Solution for 4x^2-53x+153=0 equation: 


Simplifying
4x2 + -53x + 153 = 0

Reorder the terms:
153 + -53x + 4x2 = 0

Solving
153 + -53x + 4x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(17 + -4x)(9 + -1x) = 0


Subproblem 1
Set the factor '(17 + -4x)' equal to zero and attempt to solve:

Simplifying
17 + -4x = 0

Solving
17 + -4x = 0

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

Add '-17' to each side of the equation.
17 + -17 + -4x = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -4x = 0 + -17
-4x = 0 + -17

Combine like terms: 0 + -17 = -17
-4x = -17

Divide each side by '-4'.
x = 4.25

Simplifying
x = 4.25

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 = {4.25, 9}

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