12x^2-172x+275=0

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Solution for 12x^2-172x+275=0 equation:


Simplifying
12x2 + -172x + 275 = 0

Reorder the terms:
275 + -172x + 12x2 = 0

Solving
275 + -172x + 12x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(11 + -6x)(25 + -2x) = 0

Subproblem 1

Set the factor '(11 + -6x)' equal to zero and attempt to solve: Simplifying 11 + -6x = 0 Solving 11 + -6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -6x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -6x = 0 + -11 -6x = 0 + -11 Combine like terms: 0 + -11 = -11 -6x = -11 Divide each side by '-6'. x = 1.833333333 Simplifying x = 1.833333333

Subproblem 2

Set the factor '(25 + -2x)' equal to zero and attempt to solve: Simplifying 25 + -2x = 0 Solving 25 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -2x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -2x = 0 + -25 -2x = 0 + -25 Combine like terms: 0 + -25 = -25 -2x = -25 Divide each side by '-2'. x = 12.5 Simplifying x = 12.5

Solution

x = {1.833333333, 12.5}

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